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变系数广义KdV方程新的类孤波解和解析解
引用本文:毛杰健,杨建荣,董添文.变系数广义KdV方程新的类孤波解和解析解[J].兰州理工大学学报,2007,33(3):148-149.
作者姓名:毛杰健  杨建荣  董添文
作者单位:上饶师范学院,物理系,江西,上饶,334001
摘    要:用普通Korteweg-de Vries(KdV)方程的解,构造变系数广义KdV方程的解,获得变系数广义KdV方程新的类孤波解和类Jacobi椭圆函数解.

关 键 词:KdV方程  变系数广义KdV方程  类孤波解  类椭圆函数解  
文章编号:1673-5196(2007)03-0148-02
修稿时间:2005-12-26

New solitary wave-like solution and analytic solution of generalized KdV equation with variable coefficients
MAO Jie-jian,YANG Jian-rong,DONG Tian-wen.New solitary wave-like solution and analytic solution of generalized KdV equation with variable coefficients[J].Journal of Lanzhou University of Technology,2007,33(3):148-149.
Authors:MAO Jie-jian  YANG Jian-rong  DONG Tian-wen
Institution:Dept.of Physics;Shangrao Normal College;Shangrao 334001;China
Abstract:Using the solution of general Korteweg-de Vries(KdV) equation,the solution of generalized KdV equation with variable coefficients was constructed.As a result,we successfully obtained a new solitary wave-like solution and the Jacobi elliptic function-like solution of generalized KdV equation with variable coefficients.
Keywords:KdV equation  variable coefficient generalized KdV equation  solitary wave-like solution  elliptic function-like solution  
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