Kadomtsev-Petviashvili方程的精确解  

Exact Solutions of Kadomtsev-Petviashvili Equation

作　　者：郭克新[1] 邹卫东[1] 

机构地区：[1]咸宁师范高等专科学校物理系,湖北咸宁437005

出　　处：《应用数学》2001年第S1期189-191,共3页Mathematica Applicata

摘　　要：齐次平衡法是把非线性偏微分方程转换成带约束条件的线性偏微分方程的一种很好的方法 .本文在齐次平衡法的基础上具体讨论了KP方程的精确解 ,包括孤波解 ,一般的行波解 ,有理函数解和一种新类型的解 .Based on the homogeneous balance method, an improved method are introduced: solving the original nonlinear PDE become solving the linear PDE with some constraint conditions. In this paper, the corresponding solutions of KP equation are discussed, including:solitary wave solution, the normal travelling wave solution, the rational solution and a new kinds exact solution.

关 键 词：精确解 KP方程 齐次平衡法 

分 类 号：O175.2[理学—数学]