摘要

A coupled 2 + 1-dimensional discrete Chen-Lee-Liu equation is proposed, which together with two 1 + 1-dimensional discrete Kaup-Newell equations is decomposed into solvable ordinary differential equations with the help of the resulting Lax matrix and its finite-order expansion. Based on the theory of the algebraic curve, the Abel-Jacobi coordinates are introduced to straighten out the corresponding continuous flow and discrete flow, by which explicit solutions for the coupled 2 + 1-dimensional discrete Chen-Lee-Liu equation and the 1 + 1-dimensional discrete Kaup-Newell equations are obtained in the Abel-Jacobi coordinates.

  • 出版日期2011-12-30
  • 单位河南工程学院; 郑州大学

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