| Description |
1 online resource (541 pages) |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; The Authors; Part A: Integrability, Lax Pairs and Symmetry; A1. Reciprocal transformations and their role in the integrability and classification of PDEs; 1. Introduction; 2. Fundamentals; 3. Reciprocal transformations as a way to identify and classify PDEs; 4. Reciprocal transformations to derive Lax pairs; 5. A Miura-reciprocal transformation; 6. Conclusions; A2. Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems; 1. Introduction; 2. Isospectral versus nonisospectral Lax pairs |
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A4. Lie point symmetries of delay ordinary differential equations1. Introduction; 2. Illustrating example; 3. Formulation of the problem for first-order DODEs; 4. Construction of invariant first-order DODSs; 5. First-order linear DODSs; 6. Lie symmetry classification of first-order nonlinear DODSs; 7. Exact solutions of the DODSs; 8. Higher order DODSs; 9. Traffic flow micro-model equation; 10. Conclusions; A5. The symmetry approach to integrability: recent advances; 1. Introduction; 2. The symmetry approach to integrability; 3. Integrable non-abelian equations; 4. Non-evolutionary systems |
| Summary |
Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics |
| Notes |
2. Cluster algebras: definition and examples |
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Norbert Euler is professor of mathematics at Jinan University in Guangzhou, P.R. China, and visiting research professor at the Centro Internacional de Ciencias AC in Cuernavaca, Mexico. Until April 2019 he was professor of mathematics at Lule Ě„University of Technology in Sweden, where he was teaching and researching for 23 years. His main research interests are in the subject of nonlinear mathematical physics, in particular nonlinear ordinary and partial differential equations and integrable systems, and he has published approximately 80 peer reviewed research articles and co-authored several books. He is involved in editorial work for journals, and has been the editor-in-chief of the Journal of Nonlinear Mathematical Physics since 1997. Maria Clara Nucci is associate professor of mathematical physics at University of Perugia, where she graduated in mathematics summa cum laude. Between 1986 and 1991 she was a visiting assistant professor at Georgia Institute of Technology, Atlanta, US. She has also been invited by universities in Australia, Canada, France, Germany, Greece, Sweden, UK, and the US. She has presented her research at many international congresses and workshops. From 1995-2009 she was associate editor of Journal of Mathematical Analysis and Applications, and since 2005 has been a member of the editorial board of Journal of Nonlinear Mathematical Physics. She is author or co-author of more than 100 publications, and has wide ranging research interests, from fluid to rigid body mechanics, epidemiology to astrophysics, and history of mathematics to quantum mechanics |
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Print version record |
| Subject |
Nonlinear theories.
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Differential equations, Nonlinear.
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Nonlinear systems.
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MATHEMATICS -- General.
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Differential equations, Nonlinear
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Nonlinear systems
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Nonlinear theories
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| Form |
Electronic book
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| Author |
Euler, Norbert
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Nucci, Maria Clara
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| ISBN |
9780429554308 |
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0429554303 |
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9780429263743 |
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0429263740 |
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0429558775 |
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9780429563249 |
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0429563248 |
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9780429558771 |
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