Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations

被引：7
|
作者：
Chen, Y [1 ]
Li, B
机构：
[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[3] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2004年 / 42卷 / 07期
基金：
中国国家自然科学基金;
关键词：
generalized Riccati equation expansion method; symbolic computation; (2+1)-dimensional dispersive long-wave equation; soliton-like solutions; solitons;
D O I：
10.1016/j.ijengsci.2003.06.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
By means of a new Riccati equation expansion method, we consider the (2 + 1)-dimensional dispersive long-wave equations u(yt) + eta(xx) + 1/2(u(2))(xy)= 0, eta(t) + (ueta + u + u(xy))(x) = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：715 / 724
页数：10
相关论文
共 50 条
12345