The legacy of the inverse scattering transform in applied mathematics : proceedings of an AMSIMSSIAM joint summer research conference on the legacy of inverse scattering transform in nonlinear wave propagation June 1721, 2001 Mount Holyoke College, South Hadley, MA

Contributor(s): Bona J L | Choudhury Roy | Kaup DavidMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 301Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (vi, 338 p. : ill.)ISBN: 9780821878910 (online)Subject(s): Inverse scattering transform | Nonlinear wave equationsOnline resources: Click here to access online
Contents:
The legacy of the IST ; Application of inverse scattering method to problems of differential geometry ; Algebraic and analytic aspects of soliton type equations ; Differential forms, spectral theory, and boundary value problems ; Chaos in partial differential equations ; Multisoliton complexes ; A unified approach to integrable systems via Painleve analysis ; Asymptotic stability of solitary waves for nonlinear Schrodinger equations ; Finitetime blowup in the additive supercritical stochastic nonlinear Schrodinger equation: the real noise case ; Method of symmetry transforms for ideal MHD equilibrium equations ; The David J Kaup ; V Zakharov ; Vladimir S Gerdjikov ; A S Fokas ; Yanguang Li ; Nail N Akhmediev Andrey A Sukhorukov and Adrian Ankiewicz ; S Roy Choudhury ; Vladimir S Buslaev and Catherine Sulem ; A de Bouard and A Debussche ; Oleg I Bogoyavlenskij ; Robin Young ; G J Morrow and S Chakravarty ; Roger Grimshaw Georg A Gottwald and Boris A Malomed ; S Chakravarty and R G Halburd ; Luis Casian and Yuji Kodama ; Mikhail Kovalyov ; H Steudel
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Includes bibliographical references.

The legacy of the IST ; Application of inverse scattering method to problems of differential geometry ; Algebraic and analytic aspects of soliton type equations ; Differential forms, spectral theory, and boundary value problems ; Chaos in partial differential equations ; Multisoliton complexes ; A unified approach to integrable systems via Painleve analysis ; Asymptotic stability of solitary waves for nonlinear Schrodinger equations ; Finitetime blowup in the additive supercritical stochastic nonlinear Schrodinger equation: the real noise case ; Method of symmetry transforms for ideal MHD equilibrium equations ; The ystem. I. The Riemann problem ; Statistical analysis of collisioninduced timing shifts in a wavelengthdivisionmultiplexed optical solitontransmission system ; Cuspons and peakons visavis regular solitons and collapse in a threewave system ; First integrals and gradient flow for a generalized DarbouxHalphen system ; Blowups of the Toda lattices and their intersections with the Bruhat cells ; Superposition principle for oscillatory solutions of integrable systems ; Scattering at truncated solitons and inverse scattering on the semiline David J Kaup ; V Zakharov ; Vladimir S Gerdjikov ; A S Fokas ; Yanguang Li ; Nail N Akhmediev Andrey A Sukhorukov and Adrian Ankiewicz ; S Roy Choudhury ; Vladimir S Buslaev and Catherine Sulem ; A de Bouard and A Debussche ; Oleg I Bogoyavlenskij ; Robin Young ; G J Morrow and S Chakravarty ; Roger Grimshaw Georg A Gottwald and Boris A Malomed ; S Chakravarty and R G Halburd ; Luis Casian and Yuji Kodama ; Mikhail Kovalyov ; H Steudel

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