Solitons in Physics, Mathematics, and Nonlinear Optics

This IMA Volume in Mathematics and its Applications SOLITONS IN PHYSICS, MATHEMATICS, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshops focussed on the main parts of the theory of solitons and on...

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Bibliographic Details
Other Authors: Olver, Peter J. (Editor), Sattinger, David H. (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1990, 1990
Edition:1st ed. 1990
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Nonlinear evolution equations, inverse scattering and cellular automata
  • Painlevé equations and the inverse scattering and inverse monodromy transforms
  • Chaotic behavior in nonlinear polarization dynamics
  • New manifestations of solitons
  • A unified approach to recursion operators
  • Isospectral flows: their Hamiltonian structures, Miura maps and master symmetries
  • Integrable nonlinear evolution equations in the description of waves in the shallow-water long-wave approximation
  • Transient solitons in stimulated Raman scattering
  • Monodromy preserving deformation of linear ordinary and partial differential equations
  • Bäcklund transformations and the Painlevé property
  • Symmetry groups of multidimensional integrable nonlinear systems