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

delete2005-01-01
delete24
PRE
AI
Q
Qi Wang
陈勇 (Yong Chen)
B
Biao Li
H
Hongqing Zhang
DOI:10.1016/j.amc.2003.08.053delete
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Abstract

Abstract

En 中文
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.
Keywords:
projective Riccati equation method
shallow long wave approximate equation
exact solutions

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

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