Title
New exact travelling wave solutions for the shallow long wave approximate equations
Abstract
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.
Year
DOI
Venue
2005
10.1016/j.amc.2003.08.053
Applied Mathematics and Computation
Keywords
Field
DocType
projective riccati equation method,shallow long wave approximate equation,exact solutions,exact solution,riccati equation
Exact solutions in general relativity,Soliton,Boundary value problem,Nonlinear system,Mathematical analysis,Riccati equation,Wave equation,Numerical analysis,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
160
1
Applied Mathematics and Computation
Citations 
PageRank 
References 
4
1.40
0
Authors
4
Name
Order
Citations
PageRank
Qi Wang1113.74
Yong Chen23410.54
Biao Li34815.36
Hongqing Zhang413848.35