New exact travelling wave solutions for the shallow long wave approximate equations

被引：22
作者：
Wang, Q
Chen, Y [1 ]
Li, B
Zhang, HQ
机构：
[1] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China
[2] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 160卷 / 01期
基金：
中国国家自然科学基金;
关键词：
projective Riccati equation method; shallow long wave approximate equation; exact solutions;
D O I：
10.1016/j.amc.2003.08.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave Solutions are shown by some figures. (C) 2003 Elsevier Inc. All rights reserved.
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页码：77 / 88
页数：12
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