Nonlinear Physics: Proceedings of the International Conference, Shanghai, People's Rep. of China, April 24-30, 1989

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Springer-Verlag, 1990 - Computers - 287 pages
These refereed proceedings present recent developments on specific mathematical and physical aspects of nonlinear dynamics. The new findings discussed in here will be equally useful to graduate students and researchers. The topics dealt with cover a wide range of phenomena: solitons, integrable systems, Hamiltonian structures, Bäcklund and Darboux transformation, symmetries, fi- nite-dimensional dynamical systems, quantum and statistical mechanics, knot theory and braid group, R-matrix method, Hirota and Painlevé analysis, and applications to water waves, lattices, porous media, string theory and even cellular automata.

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Contents

2+1 Dimensional Integrable Hierarchies Lax Operators and Relevant
12
Determination of Nondegenerate Darboux Operators of First Order
23
A Series of New Exact Solutions to the Nonlinear Equation yt+yXxx
29
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