Title
Exact solution for (2 + 1)-dimension nonlinear dispersive long wave equation
Abstract
By using the self-transformation and the homogeneous balance method, we establish the Hopf–Cole transformation which turns the (2+1)-dimension nonlinear dispersive long wave equation into the nonlinear heat equation. With it, abundant new exact solutions are obtained, including the multi-solitary wave solution and the rational series solutions, etc. In addition, the new trigonometric function periodic solutions are obtained by using the generalized tanh method.
Year
DOI
Venue
2006
10.1016/j.amc.2005.11.026
Applied Mathematics and Computation
Keywords
Field
DocType
Solitary wave solution,Matlab,Homogeneous balance method,Generalized tanh method,(2+1)-Dimension nonlinear dispersive long wave equation,Multi-solitary wave solution,Rational series solutions,Trigonometric function periodic solutions
Exact solutions in general relativity,Trigonometric functions,Nonlinear system,Mathematical analysis,Hyperbolic function,Heat equation,Wave equation,Periodic graph (geometry),Mathematics,One-dimensional space
Journal
Volume
Issue
ISSN
177
2
0096-3003
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
YuQian Zhou112211.21
Qian Liu251.48
Jian Zhang364.96
Weinian Zhang412724.49