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耦合Schrodinger-KdV方程的精确解
引用本文:陈贺灵,孙福伟.耦合Schrodinger-KdV方程的精确解[J].北方工业大学学报,2007,19(1):54-58,65.
作者姓名:陈贺灵  孙福伟
作者单位:北方工业大学理学院,100041,北京;北方工业大学理学院,100041,北京
摘    要:借助于计算机符号计算技术,利用F-展开法求得耦合Schrodinger-KdV方程的精确解,其中包括三角函数解、双曲函数解和椭圆函数解,其精确解在等离子体物理中有着广泛的应用.

关 键 词:耦合Schrodinger-KdV方程  F-展开法  非线性发展方程  精确解
修稿时间:2006-10-26

Exact Solution of Coupled Schrodinger-KdV Equations
Chen Heling,Sun Fuwei.Exact Solution of Coupled Schrodinger-KdV Equations[J].Journal of North China University of Technology,2007,19(1):54-58,65.
Authors:Chen Heling  Sun Fuwei
Affiliation:College of Sciences, North China Univ. of Tech. , 100041, Beijing, China
Abstract:In this paper,the F-expansion method is used to solve the coupled Schrodinger and KdV equations with computerized symbolic computation.By this method,some new solutions of these equations are acquired,including Jacobian ellipse functions and trigonometric functions.Some of these solutions are not found by other methods which are used in the plasma.
Keywords:Coupled Schrodinger-KdV Equations  F-expansion method  nonlinear evolution equations  exact solution
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