The legacy of the inverse scattering transform in applied mathematics : [electronic resource] 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.

By: AMS-IMS-SIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation (2001 : South Hadley, Mass.)Contributor(s): Bona, J. L | Choudhury, Roy, 1956- | Kaup, David, 1939-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 301.Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (vi, 338 p. : ill.)ISBN: 9780821878910 (online)Subject(s): Inverse scattering transform -- Congresses | Nonlinear wave equations -- CongressesAdditional physical formats: legacy of the inverse scattering transform in applied mathematics :DDC classification: 531/.1133/01515355 LOC classification: QA927 | .L395 2002Online resources: Contents | Contents
Contents:
The legacy of the IST / David J. Kaup -- 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 Painlev�e 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 Schr�odinger 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 Schr�odinger 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
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Includes bibliographical references.

The legacy of the IST / David J. Kaup -- Application of inverse scattering method to problems of differential geometry / V. Zakharov -- Algebraic and analytic aspects of soliton type equations / Vladimir S. Gerdjikov -- Differential forms, spectral theory, and boundary value problems / A. S. Fokas -- Chaos in partial differential equations / Yanguang Li -- Multi-soliton complexes / Nail N. Akhmediev, Andrey A. Sukhorukov and Adrian Ankiewicz -- A unified approach to integrable systems via Painlev�e analysis / S. Roy Choudhury -- Asymptotic stability of solitary waves for nonlinear Schr�odinger equations / Vladimir S. Buslaev and Catherine Sulem -- Finite-time blow-up in the additive supercritical stochastic nonlinear Schr�odinger equation: the real noise case / A. de Bouard and A. Debussche -- Method of symmetry transforms for ideal MHD equilibrium equations / Oleg I. Bogoyavlenskij -- The $p$-system. I. The Riemann problem / Robin Young -- Statistical analysis of collision-induced timing shifts in a wavelength-division-multiplexed optical soliton-transmission system / G. J. Morrow and S. Chakravarty -- Cuspons and peakons vis-a-vis regular solitons and collapse in a three-wave system / Roger Grimshaw, Georg A. Gottwald and Boris A. Malomed -- First integrals and gradient flow for a generalized Darboux-Halphen system / S. Chakravarty and R. G. Halburd -- Blow-ups of the Toda lattices and their intersections with the Bruhat cells / Luis Casian and Yuji Kodama -- Superposition principle for oscillatory solutions of integrable systems / Mikhail Kovalyov -- 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/301/05156

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05157

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05158

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05159

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05160

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05161

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05162

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05163

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05164

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05165

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05166

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05167

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05168

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05169

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05170

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05171

http://www.ams.org/conm/301/

http://dx.doi.org/10.1090/conm/301/05172

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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