变系数KP方程新的类孤波解和解析解  

New solitary wave-like solution and exact solution of variable coefficient KP equation

作　　者：毛杰健[1] 杨建荣[1] 

机构地区：[1]江西上饶师范学院物理系,上饶334001

出　　处：《物理学报》2005年第11期4999-5002,共4页Acta Physica Sinica

摘　　要：用普通Sine-Gordon的行波变换方程,提出了一种新的求解变系数Kaolomtsev-Petviashvili(KP)方程的方法,获得了变系数KP方程新的类孤波解、类Jacobi椭圆函数解和三角函数解.With the help of the general Sine-Gordon travelling wave transformation equation, we present a new method for solving the variable coefficient KP equation, and successfully obtain the new solitary wave-like solution, the Jacobi elliptic function-like solution and trigonometric function solution of variable coefficient KP equation.

关 键 词：变系数KP方程 Sine-Gordon方程 类椭圆函数解 类孤波解 KP方程 类孤波解 变系数 解析解 Jacobi 三角函数解 椭圆函数解 变换方程 求解 

分 类 号：O411.1[理学—理论物理]