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耦合mKP方程的Lax对和分解
引用本文:郭汉东. 耦合mKP方程的Lax对和分解[J]. 枣庄师专学报, 2014, 0(5): 60-62
作者姓名:郭汉东
作者单位:郑州大学西亚斯国际学院,河南郑州451150
基金项目:河南省现代产业体系动力机制研究项目(项目编号:142400410264);郑州大学西亚斯国际学院微积分精品课程项目资助.
摘    要:孤子方程是非线性科学领域中很有潜力的研究课题.通过对耦合mKP方程的位势施加约束约化为KN方程.证明了KN方程的相容解就是耦合mKP方程的解.通过达布变换得到KN方程的解,最终得到耦合mKP方程的精确解.

关 键 词:耦合mKP方程  Lax对  分解

Lax Coupling mKP Equations and Decomposition
GUO Han-dong. Lax Coupling mKP Equations and Decomposition[J]. Journal of Zaozhuang Teachers' College, 2014, 0(5): 60-62
Authors:GUO Han-dong
Affiliation:GUO Han-dong ( Sias College of Zhengzhou University, Zhengzhou 451150, China)
Abstract:The soliton equation is a lot of potential in the field of nonlinear science research topic. Based on coupling mKP equations of potential constraints, just about to KN equation. And prove the compatible solution of KN equation is coupled solution of mKP equations. Through the transformation of cloth can be KN equation solution, finally can get exact solution of coupled mKP equations.
Keywords:coupling mKP equations  lax right  decomposition
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