Description
Book SynopsisContains various developments and research arising from the conference on the 'Legacy of the Inverse Scattering Transform' held at Mount Holyoke College (South Hadley, MA). This book reviews major research results in the inverse scattering transform (IST) and on the application of IST to classical problems in differential geometry.
Table of ContentsThe legacy of the IST by D. J. Kaup Application of inverse scattering method to problems of differential geometry by V. Zakharov Algebraic and analytic aspects of soliton type equations by V. S. Gerdjikov Differential forms, spectral theory, and boundary value problems by A. S. Fokas Chaos in partial differential equations by Y. C. Li Multi-soliton complexes by N. N. Akhmediev, A. A. Sukhorukov, and A. Ankiewicz A unified approach to integrable systems via Painleve analysis by S. R. Choudhury Asymptotic stability of solitary waves for nonlinear Schrodinger equations by V. S. Buslaev and C. Sulem Finite-time blow-up in the additive supercritical stochastic nonlinear Schrodinger equations: The real noise case by A. de Bouard and A. Debussche Method of symmetry transforms for ideal magnetohydrodynamics equilibrium equations by O. I. Bogoyavlenskij The $p$-system I: The Riemann problem by R. Young Statistical analysis of collision-induced timing shifts in a wavelength-division-multiplexed optical soliton-transmission system by G. J. Morrow and S. Chakravarty Cuspons and peakons vis-a-vis regular solitons and collapse in a three-wave system by R. Grimshaw, G. A. Gottwald, and B. A. Malomed First integrals and gradient flow for a generalized Darboux-Halphen system by S. Chakravarty and R. G. Halburd Blow-ups of the Toda lattices and their intersections with the Bruhat cells by L. Casian and Y. Kodama Superposition principle for oscillatory solutions of integrable systems by M. Kovalyov Scattering at truncated solitons and inverse scattering on the semiline by H. Steudel.
