Integrable decompositions of a symmetric matrix Kaup–Newell equation and a symmetric matrix derivative nonlinear Schrödinger equation
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摘要
It is shown that the reduction conditions in the spectral problems of soliton equations can be replaced by more equations of eigenfunctions. Based on this, the method of nonlinearization of spectral problem is extended to soliton equations with reduction conditions. Integrable decompositions of a symmetric matrix Kaup–Newell equation and a symmetric matrix derivative nonlinear Schrödinger equation are constructed.
论文关键词：The symmetric matrix Kaup–Newell equation,The symmetric matrix derivative nonlinear Schrödinger equation,Nonlinearization of spectral problem,Integrable decomposition
论文评审过程：Available online 16 November 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.10.065
