New exact solutions to KdV equations with variable coefficients or forcing

被引：5
作者：
Fu Zun-tao
Liu Shi-da
Liu Shi-kuo
Zhao Qiang
机构：
[1] Peking University,School of Physics
[2] Peking University,State Key Laboratory for Turbulence and Complex System
来源：
Applied Mathematics and Mechanics | 2004年 / 25卷 / 1期
关键词：
Jacobi elliptic function; soliton-typed solution; cnoidal wave-typed solution; O175; O411; 35G25;
D O I：
10.1007/BF02437295
中图分类号：
学科分类号：
摘要：
Jacobi elliptic function expansion method is extended to construct the exact solutions to another kind of KdV equations, which have variable coefficients or forcing terms. And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition.
引用
收藏
页码：73 / 79
页数：6
相关论文
共 49 条
[1]  
Grimshaw R H J(1979)Slowly varying solitary waves[J] Proc Roy Soc Lon A 368 359-375
[2]  
Chan W L(1995)Symmetries, conservation-laws and Hamiltonian structures of the non-isospectral and variable-coefficient KdV and mKdV equations[J] J Phys A 28 407-419
[3]  
Xiao Zhang(1987)Symmetries and a hierarchy of the general KdV equation[J] J Phys A 20 359-366
[4]  
Chou Tian(1995)Solitary wave solutions for variant Boussinesq equations[J] Phys Lett A 199 169-172
[5]  
Ming-liang Wang(1996)Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics[J] Phys Lett A 216 67-75
[6]  
Ming-liang Wang(1999)Exact solutions of nonlinear equations[J] Phys Lett A 260 55-59
[7]  
Yu-bin Zhou(2001)Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature[J] Phys Lett A 278 267-270
[8]  
Zhi-bin Li(1997)Travelling solitary wave solutions to a compound KdV-Burgers equation [J] Phys Lett A 229 217-220
[9]  
Lei Yang(2000)Extended tanh-function method and its applications to nonlinear equations[J] Phys Lett A 277 212-218
[10]  
Zheng-gang Zhu(1973)Exact J Math Phys 14 810-814
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