Title The legacy of the inverse scattering transform in applied mathematics : proceedings of an AMS-IMS-SIAM joint summer research conference on the legacy of inverse scattering transform in nonlinear wave propagation June 17-21, 2001 Mount Holyoke College, South Hadley, MA / Jerry Bona, Roy Choudhury, David Kaup, editors

Published Providence, R.I. : American Mathematical Society, ©2002

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Description 1 online resource (vi, 338 pages) : illustrations Series Contemporary mathematics, 0271-4132 ; 301 Contemporary mathematics (American Mathematical Society) ; v. 301. Contents The legacy of the IST / David J. Kaup -- http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/'>http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05156 Application of inverse scattering method to problems of differential geometry / V. Zakharov -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05157 Algebraic and analytic aspects of soliton type equations / Vladimir S. Gerdjikov -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05158 Differential forms, spectral theory, and boundary value problems / A. S. Fokas -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05159 Chaos in partial differential equations / Yanguang Li -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05160 Multi-soliton complexes / Nail N. Akhmediev, Andrey A. Sukhorukov and Adrian Ankiewicz -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05161 A unified approach to integrable systems via Painlevé analysis / S. Roy Choudhury -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05162 Asymptotic stability of solitary waves for nonlinear Schrödinger equations / Vladimir S. Buslaev and Catherine Sulem -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05163 Finite-time blow-up in the additive supercritical stochastic nonlinear Schrödinger equation: the real noise case / A. de Bouard and A. Debussche -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05164 Method of symmetry transforms for ideal MHD equilibrium equations / Oleg I. Bogoyavlenskij -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05165 The $p$-system. I. The Riemann problem / Robin Young -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05166 Statistical analysis of collision-induced timing shifts in a wavelength-division-multiplexed optical soliton-transmission system / G. J. Morrow and S. Chakravarty -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05167 Cuspons and peakons vis-a-vis regular solitons and collapse in a three-wave system / Roger Grimshaw, Georg A. Gottwald and Boris A. Malomed -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05168 First integrals and gradient flow for a generalized Darboux-Halphen system / S. Chakravarty and R. G. Halburd -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05169 Blow-ups of the Toda lattices and their intersections with the Bruhat cells / Luis Casian and Yuji Kodama -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05170 Superposition principle for oscillatory solutions of integrable systems / Mikhail Kovalyov -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05171 Scattering at truncated solitons and inverse scattering on the semiline / H. Steudel -- http://www.ams.org/conm/301/ http://dx.doi.org/10.1090/conm/301/05172 Bibliography Includes bibliographical references Notes English Subject Inverse scattering transform -- Congresses Nonlinear wave equations -- Congresses Inverse scattering transform Nonlinear wave equations Genre/Form Conference papers and proceedings Form Electronic book Author Bona, J. L Choudhury, Roy, 1956- Kaup, David, 1939- ISBN 9780821878910 0821878913 9780821856376 0821856375

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