Backlund Transformations of Soliton Systems from Symmetry Constraints

Wen-Xiu Ma; Xianguo Geng

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arXiv · nlin/0107071

Backlund Transformations of Soliton Systems from Symmetry Constraints

Wen-Xiu Ma·Xianguo Geng

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Abstract

Binary symmetry constraints are applied to constructing Bäcklund transformations of soliton systems, both continuous and discrete. Construction of solutions to soliton systems is split into finding solutions to lower-dimensional Liouville integrable systems, which also paves a way for separation of variables and exhibits integrability by quadratures for soliton systems. Illustrative examples are provided for the KdV equation, the AKNS system of nonlinear Schrödinger equations, the Toda lattice, and the Langmuir lattice.

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BibTeX RIS

Wen-Xiu Ma, Xianguo Geng. 2001-07-31. Backlund Transformations of Soliton Systems from Symmetry Constraints. https://arxiv.org/abs/nlin/0107071

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