变系数广义KdV方程新的类孤波解和精确解  

New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV 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》2007年第9期5049-5053,共5页Acta Physica Sinica

摘　　要：用普通KdV方程作变换,构造变系数广义KdV方程的解,获得了变系数广义KdV方程新的Jacobi椭圆函数精确解、类孤波解、三角函数解和Weierstrass椭圆函数解.By the transforming with general KdV equation, the solutions of the variable coefficient generalized KdV equation are constructed firstly. As a result, we successfully obtain the new exact Jacobi elliptic function solutions, solitary-wave-like solutions, trigonometric function solutions and Weierstrass elliptic function solutions of variable coefficient generalized KdV equation.

关 键 词：KDV方程 变系数广义KdV方程 类孤波解 精确解 

分 类 号：O411.1[理学—理论物理] O175.24[理学—物理]