Solitons in Physics, Mathematics, and Nonlinear Optics
Published in July 1990
Book
Hardback
XIII, 215 pages
978-3-540-97309-6 (ISBN)
Description
This volume includes some of the letters given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics", held during 1988 and 1989. Since their discovery by Kruskal and Zabusky in the early 1960s, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry. The present contributions represent only a fraction of these areas, but give the reader a good overview of several research directions, including optics, fluid dynamics, inverse scattering, cellular automata, Backlund equations, symmetries and Hamiltonian systems.
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Content
Nonlinear evolution equations, inverse scattering and cellular automata; equations and the inverse scattering and inverse monodromy transforms; chaotic behaviour 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 equation in the description of waves in the shallow-water long-wave approximation; transient solitons in stimulated Raman scattering; monodromy preserving deformation on linear ordinary and partial differential equations; Backlund property; symmetry groups of multidimensional integrable nonlinear systems.