Nonlinear Physics: Proceedings of the International Conference, Shanghai, People's Rep. of China, April 24-30, 1989
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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2+1 Dimensional Integrable Hierarchies Lax Operators and Relevant
Determination of Nondegenerate Darboux Operators of First Order
A Series of New Exact Solutions to the Nonlinear Equation yt+yXxx
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2+1 dimensions AKNS hierarchy amplitude Backlund transformation Beijing bilinear bosonic braid group Bullough RK chiral classical condition constant constraint corresponding Darboux Darboux transformation defined denotes density Department of Mathematics derived dimensional eigenvalue fermion finite function gauge given Gu Chaohao Guizhang Hamiltonian system HBDE Heidelberg 1990 homoclinic integrable systems interaction invariant inverse involutive system IRF models isospectral KdV equation KP equation lattice Lax operators Lax pair Lett Lie algebra linear link polynomial M.J. Ablowitz Markov property Markov trace Math matrix method nonlinear evolution equations Nonlinear Physics Nonlinear Physics Editors obtained Painleve parameter partial differential equations particles phase shift Phys Physics Nonlinear Physics Poisson brackets preprint quantum r-matrix recursion operator relation Reports in Physics repulsive NLS Research Reports satisfies singular sinh-G solitary wave soliton solutions solve spin Springer-Verlag Berlin structure symmetry theorem two-soliton University variables vertex model Yang-Baxter Yishen zero