一个2+1维耦合mKP方程的分解

Decomposition of a (2+1)-dimensional Coupled mKP Equation

研究了从一个2+1维耦合mKP方程到Kaup-Newell(KN)族中的前两个方程的分解,进而通过非线性方法,将这两个方程进一步分解为Poisson流形R3N上的具有Lie-Poisson结构的有限维Hamilton系统.

The （2 ＋ 1）-dimensional coupled mKP equation is decomposed into the first two equations of the Kaup-Newell hierarchy. By using the nonlinear method, the first two equations are decomposed into the finite dementional Hamilton system with Poisson structure on Poisson manifold.