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Author LENCOS (Conference) (2nd : 2012 : Sevilla, Spain)

Title Localized excitations in nonlinear complex systems : current state of the art and future perspectives / Ricardo Carretero-González ... [and 5 more], editors
Published Cham : Springer, 2014
Table of Contents
 Part I Nonlinear Schrodinger Models: Continuum and Discrete 
 Solitons and Their Ghosts in PT-Symmetric Systems with Defocusing Nonlinearities3
1.Introduction / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis4
2.The Model and Some Analytical Insights / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis5
3.Ground State and Single Dark Soliton / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis8
3.1.Ground State / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis8
3.2.Single Dark Soliton / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis9
4.Multiple Dark Soliton States and Nonlinear PT Phase Transitions / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis13
4.1.Two-Dark-Soliton State / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis13
4.2.Three-Dark-Soliton State / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis17
4.3.Nonlinear PT Phase Transitions / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis19
4.4.The "Free Space" Case / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis21
5.Dark Soliton Dynamics / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis22
6.Ghost States and Their Dynamical Role / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis26
7.Symmetry Breaking and Nonlinear PT Phase Transitions in Two Dimensions / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis30
8.Conclusions / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis40
 References / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis41
 Coding of Nonlinear States for NLS-Type Equations with Periodic Potential / V. Achilleos, R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis43
1.Introduction / A.I. Avramenko, G.L. Alfimov43
2.Bounded and Singular Solutions of Stationary States / A.I. Avramenko, G.L. Alfimov45
2.1.Some Definitions / A.I. Avramenko, G.L. Alfimov45
2.2.Some Statements About Collapsing Points / A.I. Avramenko, G.L. Alfimov46
3.Periodic Potential: Poincaré Map / A.I. Avramenko, G.L. Alfimov48
3.1.Poincaré Map / G.L. Alfimov, A.I. Avramenko48
3.2.Symbolic Dynamics: Theory / A.I. Avramenko, G.L. Alfimov49
3.3.Symbolic Dynamics: Application / A.I. Avramenko, G.L. Alfimov51
4.Steady States with Cosine Potential / A.I. Avramenko, G.L. Alfimov52
4.1.Hypothesis 1 / A.I. Avramenko, G.L. Alfimov55
4.2.Hypothesis 2 / A.I. Avramenko, G.L. Alfimov56
4.3.Hypothesis 3 / A.I. Avramenko, G.L. Alfimov57
4.4.Examples / A.I. Avramenko, G.L. Alfimov58
5.Conclusion / A.I. Avramenko, G.L. Alfimov60
 References / A.I. Avramenko, G.L. Alfimov60
 Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers / A.I. Avramenko, G.L. Alfimov63
1.Introduction / Giulio Casati, Stefano Lepri63
2.The Model / Giulio Casati, Stefano Lepri65
3.Stability of Scattering Solutions / Giulio Casati, Stefano Lepri68
4.Scattering of Wave Packets / Giulio Casati, Stefano Lepri71
5.Summary and Conclusions / Giulio Casati, Stefano Lepri72
 References / Giulio Casati, Stefano Lepri74
 Breather Solutions of the Discrete p-Schrödinger Equation / Giulio Casati, Stefano Lepri77
1.Introduction and Main Results / Yuli Starosvetsky, Guillaume James78
2.Two-Dimensional Mappings Equivalent to the Stationary DpS Equation / Yuli Starosvetsky, Guillaume James81
2.1.Force Variables / Yuli Starosvetsky, Guillaume James82
2.2.Mixed Variables / Yuli Starosvetsky, Guillaume James83
3.Stable and Unstable Manifolds / Yuli Starosvetsky, Guillaume James84
3.1.Heuristics / Yuli Starosvetsky, Guillaume James85
3.2.Stable Manifold Theorem / Yuli Starosvetsky, Guillaume James85
3.3.Stable and Unstable Manifolds for the Maps M, T, F / Yuli Starosvetsky, Guillaume James87
4.Homoclinic Solutions of the Stationary DpS Equation / Yuli Starosvetsky, Guillaume James90
4.1.Homoclinic Solutions of Generalized DNLS Equations / Yuli Starosvetsky, Guillaume James90
4.2.Application to the DpS Equation / Yuli Starosvetsky, Guillaume James93
5.Analytical Approximations of Stable and Unstable Manifolds / Yuli Starosvetsky, Guillaume James96
5.1.Method of Local Approximation and Backward Iterates / Yuli Starosvetsky, Guillaume James97
5.2.Continuum Limit for Weak Nonlinearities / Yuli Starosvetsky, Guillaume James103
6.Breather Stability and Mobility / Yuli Starosvetsky, Guillaume James107
7.Discussion / Yuli Starosvetsky, Guillaume James112
 References / Yuli Starosvetsky, Guillaume James114
 Part II Bose-Einstein Condensates (BECs) and Nonlinear Optics / Yuli Starosvetsky, Guillaume James 
 Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length / Yuli Starosvetsky, Guillaume James119
1.Introduction / Alexandru I. Nicolin, Antun Bala[ž]119
2.Classification of Density Waves / Alexandru I. Nicolin, Antun Bala[ž]121
3.Results and Discussion / Alexandru I. Nicolin, Antun Bala[ž]123
4.Conclusions / Alexandru I. Nicolin, Antun Bala[ž]127
 References / Alexandru I. Nicolin, Antun Bala[ž]128
 Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover / Alexandru I. Nicolin, Antun Bala[ž]131
1.Contact Intensity / Luca Salasnich131
1.1.Uniform Superfluid Fermi Gas at Zero Temperature / Luca Salasnich133
1.2.Contact Intensity in the BCS-BEC Crossover / Luca Salasnich134
1.3.Trapped Superfluid Fermi Gas / Luca Salasnich135
2.Extended Superfluid Hydrodynamics / Luca Salasnich137
2.1.Extended Hydrodynamics in Terms of Goldstone Field / Luca Salasnich140
2.2.Application: The Unitary Fermi Gas / Luca Salasnich141
2.3.Nonlinear Sound Waves, Static Response Function and Structure Factor / Luca Salasnich142
3.Conclusions / Luca Salasnich145
 References / Luca Salasnich145
 N-Soliton Interactions for the Manakov System: Effects of External Potentials / Luca Salasnich147
1.Introduction / M.D. Todorov, V.S. Gerdjikov147
2.Preliminaries / M.D. Todorov, V.S. Gerdjikov150
2.1.Derivation of the CTC as a Model for the Soliton Interaction of VNLS Systems / M.D. Todorov, V.S. Gerdjikov150
3.Effects of the Polarization Vectors on the Soliton Interaction / M.D. Todorov, V.S. Gerdjikov153
4.Derivation of the PCTC as a Model for the Soliton Interactions / M.D. Todorov, V.S. Gerdjikov155
5.Comparison of the PCTC with the Perturbed Manakov Model / M.D. Todorov, V.S. Gerdjikov158
5.1.The Periodic Potentials / M.D. Todorov, V.S. Gerdjikov158
5.2.The Quadratic Potentials / M.D. Todorov, V.S. Gerdjikov159
5.3.The Quartic Potentials / M.D. Todorov, V.S. Gerdjikov161
6.Discussion / V.S. Gerdjikov, M.D. Todorov164
7.Conclusions / M.D. Todorov, V.S. Gerdjikov165
 References / M.D. Todorov, V.S. Gerdjikov166
 Wave Modes Trapped in Rotating Nonlinear Potentials / M.D. Todorov, V.S. Gerdjikov171
1.Introduction / Yongyao Li, Boris A. Malomed, Wei Pang172
2.The Model / Yongyao Li, Boris A. Malomed, Wei Pang174
3.Numerical Results / Yongyao Li, Boris A. Malomed, Wei Pang176
3.1.The Classification of Trapped Modes / Yongyao Li, Boris A. Malomed, Wei Pang176
3.2.The Self-Focusing Nonlinearity / Yongyao Li, Boris A. Malomed, Wei Pang177
3.3.The Self-Defocusing Nonlinearity / Wei Pang, Yongyao Li, Boris A. Malomed181
3.4.The Alternating Self-Focusing: Self-Defocusing Nonlinear Potential / Yongyao Li, Boris A. Malomed, Wei Pang183
4.The Analytical Approach / Yongyao Li, Boris A. Malomed, Wei Pang184
4.1.The Two-Mode Approximation / Yongyao Li, Boris A. Malomed, Wei Pang184
4.2.The Self-Focusing Nonlinearity / Boris A. Malomed, Wei Pang, Yongyao Li184
4.3.The Self-Defocusing Nonlinearity / Yongyao Li, Boris A. Malomed, Wei Pang185
4.4.The Alternating Self-Focusing: Self-Defocusing Nonlinearity / Wei Pang, Boris A. Malomed, Yongyao Li187
5.Conclusions / Yongyao Li, Boris A. Malomed, Wei Pang188
 References / Boris A. Malomed, Wei Pang, Yongyao Li189
 Light Propagation in Two Dimensional Plasmonic Arrays / Yongyao Li, Boris A. Malomed, Wei Pang193
1.Introduction / Danhua Wang, Alejandro B. Aceves193
2.Theoretical Model and Dispersion Properties: Case 1 / Alejandro B. Aceves, Danhua Wang194
3.Theoretical Model and Dispersion Properties: Case 2 / Danhua Wang, Alejandro B. Aceves198
4.Modulation Instability / Alejandro B. Aceves, Danhua Wang200
4.1.Numerical Simulations / Danhua Wang, Alejandro B. Aceves203
5.Solitary Wave Solutions / Alejandro B. Aceves, Danhua Wang204
6.Conclusion / Danhua Wang, Alejandro B. Aceves207
 References / Danhua Wang, Alejandro B. Aceves208
 Part III Nonlinear Dynamical Lattices / Danhua Wang, Alejandro B. Aceves 
 Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers / Danhua Wang, Alejandro B. Aceves213
1.Introduction / Manuel G. Velarde, Werner Ebeling, Alexander P. Chetverikov213
2.Model Hamiltonian and Visualization of Local and Collective Atom (Lattice Units) Motions / Manuel G. Velarde, Alexander P. Chetverikov, Werner Ebeling216
3.Simulation of the Oxygen Dynamics / Werner Ebeling, Manuel G. Velarde, Alexander P. Chetverikov220
4.Discussion and Conclusions / Manuel G. Velarde, Werner Ebeling, Alexander P. Chetverikov220
 References / Werner Ebeling, Manuel G. Velarde, Alexander P. Chetverikov223
 Variational Approximation to Electron Trapping by Soliton-Like Localized Excitations in One-Dimensional Anharmonic Lattices / Werner Ebeling, Manuel G. Velarde, Alexander P. Chetverikov225
1.Introduction / Luis A. Cisneros-Ake, Antonmaria A. Minzoni, Manuel G. Velarde225
2.Formulation of the Problem and Numerical Results / Luis A. Cisneros-Ake, Antonmaria A. Minzoni, Manuel G. Velarde227
3.Traveling Polaron/Solectron Solutions / Manuel G. Velarde, Luis A. Cisneros-Ake, Antonmaria A. Minzoni232
4.Conclusions / Luis A. Cisneros-Ake, Antonmaria A. Minzoni, Manuel G. Velarde234
 References / Luis A. Cisneros-Ake, Antonmaria A. Minzoni, Manuel G. Velarde235
 Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice / Luis A. Cisneros-Ake, Antonmaria A. Minzoni, Manuel G. Velarde237
1.Introduction / Yaroslav Zolotaryuk237
2.The Model and Equations of Motion / Yaroslav Zolotaryuk238
2.1.The DSG Equation / Yaroslav Zolotaryuk238
2.2.Linear Stability and the Floquet Theory / Yaroslav Zolotaryuk239
3.Kinks in the High-Frequency Driven DSG Equation / Yaroslav Zolotaryuk240
3.1.The Numerical Scheme / Yaroslav Zolotaryuk241
3.2.The Existence Diagram / Yaroslav Zolotaryuk241
3.3.Floquet Spectrum and the Destabilizing Bifurcations / Yaroslav Zolotaryuk244
4.Discussion and Conclusions / Yaroslav Zolotaryuk249
 References / Yaroslav Zolotaryuk250
 Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles / Yaroslav Zolotaryuk251
1.Introduction / A. Bouakaz, J. Chaline, N. Jiménez, V.J. Sánchez-Morcillo, S. Dos Santos252
2.The Ring of Coupled Pendula / A. Bouakaz, J. Chaline, N. Jiménez, V.J. Sánchez-Morcillo, S. Dos Santos253
2.1.The Model / V.J. Sánchez-Morcillo, N. Jiménez, J. Chaline, A. Bouakaz, S. Dos Santos253
2.2.Experimental Setup / V.J. Sánchez-Morcillo, N. Jiménez, J. Chaline, A. Bouakaz, S. Dos Santos254
3.Localized Excitations / V.J. Sánchez-Morcillo, N. Jiménez, J. Chaline, A. Bouakaz, S. Dos Santos256
3.1.Lower Cutoff Modes / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline256
3.2.Upper Cutoff Modes / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline258
4.Defect-Induced Localization / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline259
5.Analogy with Gas Bubbles in an Ultrasound Field / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline260
6.Conclusions / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline261
 References / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline262
 Part IV Quodons and Muscovite Mica / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline 
 Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation / V.J. Sánchez-Morcillo, N. Jiménez, S. Dos Santos, A. Bouakaz, J. Chaline265
1.Introduction / R. Shapovalov, V. Duhinko265
2.Gas of Quodons and Its Effect on Reaction Rates in Solids / R. Shapovalov, V. Duhinko267
2.1.Gas of Quodons / R. Shapovalov, V. Duhinko268
2.2.Modification of Reaction Rates in Solids Under Irradiation / R. Shapovalov, V. Duhinko270
3.Modeling of the Precipitation Kinetics Under Irradiation in the Modified Rate Theory / R. Shapovalov, V. Duhinko274
3.1.Classical Rate Theory of the Precipitation Kinetics / R. Shapovalov, V. Duhinko275
3.2.Quodon-Induced Solubility Limit Change / R. Shapovalov, V. Duhinko279
3.3.Quodon-Induced Interfacial Energy Change / R. Shapovalov, V. Duhinko282
3.4.Diffusivity of Cu Under Irradiation / R. Shapovalov, V. Duhinko283
3.5.Evolution of Cu Precipitates and the Matrix Concentration of Cu Under Electron Irradiation / V. Duhinko, R. Shapovalov285
4.Summary / R. Shapovalov, V. Duhinko287
 References / R. Shapovalov, V. Duhinko288
 Energy Gain by Discrete Particle Non-linear Lattice Excitations / R. Shapovalov, V. Duhinko289
1.Introduction / F.M. Russell290
2.Experimental Methods / F.M. Russell292
3.Layered Structure Effects / F.M. Russell294
4.Molecular Dynamics Simulations of Cascades / F.M. Russell296
5.Numerical Modelling in 2D Arrays / F.M. Russell298
6.Structure of Non-linear Intrinsic Localised Modes / F.M. Russell301
7.Energy Gain by Kink Pulses / F.M. Russell304
8.Creation of Coordinated Kink Pulses / F.M. Russell306
9.Evidence for Multiple Kink Pulses from Nuclear Scattering 3Q / F.M. RussellQ7
10.Defect Sweeping / F.M. Russell310
11.Inner Structure of Fans / F.M. Russell310
12.Discussion / F.M. Russell311
13.Conclusion / F.M. Russell313
 References / F.M. Russell314
 Supersonic Kinks in Coulomb Lattices / F.M. Russell317
1.Introduction / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez318
2.Model Equations / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez319
3.Phonons / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez321
4.Localized Travelling Solutions / Juan F.R. Archilla, Yuriy A. Kosevich, Noé Jiménez, Victor J. Sánchez-Morcillo, Luis M. Garcia-Raffi323
4.1.Tail Analysis / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez323
4.2.Oscillating Tails / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez324
4.3.Supersonic Solitons and Kinks / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez325
5.Kink Characteristics Within the Rotating Wave Approximation: Magic Wave Number / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez326
6.Numerical Results / Noé Jiménez, Victor J. Sánchez-Morcillo, Yuriy A. Kosevich, Juan F.R. Archilla, Luis M. Garcia-Raffi328
7.Effect of the Interaction with Several Neighbors / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez330
8.Conclusions / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez330
 References / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez331
 Part V Magnetic Metamaterials / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez 
 Travelling Waves in Nonlinear Magnetic Metamaterials / Juan F.R. Archilla, Yuriy A. Kosevich, Luis M. Garcia-Raffi, Victor J. Sánchez-Morcillo, Noé Jiménez335
1.Introduction / J. Diblik, M. Feckan, H. Susanto, V.M. Rothos, M. Pospi[š]il336
2.Existence Results on Periodic Solutions / J. Diblik, M. Feckan, H. Susanto, V.M. Rothos, M. Pospi[š]il337
3.Bifurcation Results for Periodic Travelling Waves / J. Diblik, M. Feckan, H. Susanto, V.M. Rothos, M. Pospi[š]il343
4.Bifurcation Results for Asymptotic Travelling Waves / J. Diblik, M. Feckan, H. Susanto, V.M. Rothos, M. Pospi[š]il348
5.Numerical Results / J. Diblik, M. Feckan, H. Susanto, V.M. Rothos, M. Pospi[š]il354
 References / J. Diblik, M. Feckan, H. Susanto, V.M. Rothos, M. Pospi[š]il357
 Stability of Discrete Breathers in Magnetic Metamaterials / J. Diblik, M. Feckan, M. Pospi[š]il, V.M. Rothos, H. Susanto359
1.Introduction / Vassilis Rothos, Dmitry Pelinovsky359
2.Formalism / Vassilis Rothos, Dmitry Pelinovsky360
3.Existence of Multi-site Discrete Breathers / Vassilis Rothos, Dmitry Pelinovsky362
4.Stability of Multi-site Breathers / Vassilis Rothos, Dmitry Pelinovsky365
4.1.Adjacent Excited Oscillators / Vassilis Rothos, Dmitry Pelinovsky366
4.2.Oscillators at Rest Between Excited Oscillators / Vassilis Rothos, Dmitry Pelinovsky369
5.Discussion / Vassilis Rothos, Dmitry Pelinovsky372
 References / Vassilis Rothos, Dmitry Pelinovsky374
 Part VI Other Nonlinear Models / Vassilis Rothos, Dmitry Pelinovsky 
 Checking the Validity of Truncating the Cumulant Hierarchy Description of a Small System / Vassilis Rothos, Dmitry Pelinovsky377
1.Introduction / Manuel Morillo, José M. Casado, José Gómez-Ordóñez377
2.The Model / Manuel Morillo, José M. Casado, José Gómez-Ordóñez379
3.Numerical Simulations / Manuel Morillo, José M. Casado, José Gómez-Ordóñez380
4.Conclusion / Manuel Morillo, José M. Casado, José Gómez-Ordóñez386
 References / Manuel Morillo, José M. Casado, José Gómez-Ordóñez387
 Shape-Invariant Solitons in Nematic Liquid Crystals: The Influence of Noise / Manuel Morillo, José M. Casado, José Gómez-Ordóñez389
1.Introduction / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic389
1.1.Fundamental Solitons / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic389
1.2.Nonlocality / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic390
1.3.Status of the Field / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic390
1.4.Contents of the Chapter / Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic, Milivoj R. Belic391
2.The Model / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic391
2.1.Scalar Nonlocal Model of Nematic Liquid Crystals / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic391
2.2.Model Equations / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic392
3.Computations / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic393
3.1.Numerical Procedure / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic393
3.2.Modified Petviashvili Procedure / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic394
3.3.The Stability of Fundamental Solitons / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic395
4.The Influence of Noise / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic397
4.1.The Breathing Problem / Milivoj R. Belic, Milan S. Petrovic, Aleksandra I. Strinic, Najdan B. Aleksic397
4.2.Propagation in the Presence of Noise / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic397
4.3.Destructive Influence of Noise / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic399
5.Conclusion / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic400
 References / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic400
 Conservation Laws of a Family of Reaction-Diffusion-Convection Equations / Milivoj R. Belic, Najdan B. Aleksic, Aleksandra I. Strinic, Milan S. Petrovic403
1.Introduction / M.S. Bruzón, R. de la Rosa, M.L. Gandarias403
2.Formal Lagrangian and Adjoint Equation / M.S. Bruzón, R. de la Rosa, M.L. Gandarias405
3.Lie Symmetries / M.L. Gandarias, M.S. Bruzón, R. de la Rosa406
4.Nonlinear Self-Adjoint Equations / M.S. Bruzón, R. de la Rosa, M.L. Gandarias409
5.Conservation Laws for a Subclass of Nonlinear Self-Adjoint Equations / M.S. Bruzón, R. de la Rosa, M.L. Gandarias411
6.Conclusions / M.S. Bruzón, R. de la Rosa, M.L. Gandarias416
 References / M.S. Bruzón, R. de la Rosa, M.L. Gandarias417
 Effects Induced in Complex Biological Systems by High Density Green Photons / M.S. Bruzón, R. de la Rosa, M.L. Gandarias419
1.Introduction / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu420
2.Experimental Evidence / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu421
2.1.Mass Spectroscopy / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu422
2.2.Enzyme Reactions / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu424
3.Discusion and Conclusion: A Physical Model / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu426
 References / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu427
 Index / Sorin Comorosan, Silviu Polosan, Marian Apostol, Elena Ionescu, Ileana Farcasanu, Liliana Paslaru, Irinel Popescu429
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Description 1 online resource (xx, 432 pages) : illustrations (some color)
Series Nonlinear Systems and Complexity, 2195-9994 ; 7
Nonlinear systems and complexity ; 7. 2195-9994
Contents Part I. Nonlinear Schrödinger Models: Continuum and Discrete -- Solitons and Their Ghosts in / PT / -Symmetric Systems with Defocusing Nonlinearities / V. Achilleos, P.G. Kevrekidis, D.J. Frantzeskakis and R. Carretero-González -- Coding of Nonlinear States for NLS-Type Equations with Periodic Potential / G.L. Alfimov and A.I. Avramenko -- Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers / Stefano Lepri and Giulio Casati -- Breather Solutions of the Discrete p -Schrödinger Equation / Guillaume James and Yuli Starosvetsky -- Part II. Bose-Einstein Condensates (BECs) and Nonlinear Optics -- Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length / Antun Balaž and Alexandru I. Nicolin -- Contact Intensity and Extended Hydrodynamics in the BCS-BEC Crossover / Luca Salasnich -- N -Soliton Interactions for the Manakov System: Effects of External Potentials / V.S. Gerdjikov and M.D. Todorov -- Wave Modes Trapped in Rotating Nonlinear Potentials / Yongyao Li, Wei Pang and Boris A. Malomed -- Light Propagation in Two Dimensional Plasmonic Arrays / Danhua Wang and Alejandro B. Aceves -- Part III. Nonlinear Dynamical Lattices -- Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers / Manuel G. Velarde, Werner Ebeling and Alexander P. Chetverikov -- Variational Approximation to Electron Trapping by Soliton-Like Localized Excitations in One-Dimensional Anharmonic Lattices / Luis A. Cisneros-Ake, Antonmaria A. Minzoni and Manuel G. Velarde -- Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice / Yaroslav Zolotaryuk -- Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles / V.J. Sánchez-Morcillo, N. Jiménez, J. Chaline, A. Bouakaz and S. Dos Santos -- Part IV. Quodons and Muscovite Mica -- Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation / V. Dubinko and R. Shapovalov -- Energy Gain by Discrete Particle Non-linear Lattice Excitations / F.M. Russell -- Supersonic Kinks in Coulomb Lattices / Juan F.R. Archilla, Yuriy A. Kosevich, Noé Jiménez, Víctor J. Sánchez-Morcillo and Luís M. García-Raffi -- Part V. Magnetic Metamaterials -- Travelling Waves in Nonlinear Magnetic Metamaterials / J. Diblík, M. Fečkan, M. Pospíšil, V.M. Rothos and H. Susanto -- Stability of Discrete Breathers in Magnetic Metamaterials / Dmitry Pelinovsky and Vassilis Rothos -- Part VI. Other Nonlinear Models -- Checking the Validity of Truncating the Cumulant Hierarchy Description of a Small System / Manuel Morillo, José Gómez-Ordóñez and José M. Casado -- Shape-Invariant Solitons in Nematic Liquid Crystals: The Influence of Noise / Milivoj R. Belić, Milan S. Petrović, Aleksandra I. Strinić and Najdan B. Aleksić -- Conservation Laws of a Family of Reaction-Diffusion-Convection Equations / M.S. Bruzón, M.L. Gandarias and R. de la Rosa -- Effects Induced in Complex Biological Systems by High Density Green Photons / Sorin Comorosan, Silviu Polosan, Marian Apostol, Irinel Popescu, Ileana Farcasanu [and 2 others]
Nonlinear Schrödinger Models: Continuum and Discrete Solitons and their Ghosts in PT-Symmetric Systems with Defocusing Nonlinearities -- Coding of Nonlinear States for NLS-Type Equations with Periodic Potential -- Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger dimers -- Breather Solutions of the discrete p-Schrödinger
Summary The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications. This volume is a compilation of chapters representing the current state-of-the-art on the field of localized excitations and their role in the dynamics of complex physical systems
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed November 25, 2013)
Subject Nonlinear systems -- Congresses.
Mathematical physics -- Congresses.
Genre/Form Conference papers and proceedings.
Conference papers and proceedings.
Form Electronic book
Author Carretero-González, Ricardo, editor
ISBN 3319020560
3319020579 (electronic bk.)
9783319020563
9783319020570 (electronic bk.)