Name
Title | ||
|---|---|---|
An Exp-function method for new N-soliton solutions with arbitrary functions of a (2+1)-dimensional vcBK system |
Abstract | ||
|---|---|---|
In this paper, the Exp-function method is generalized to construct N-soliton solutions of the (2+1)-dimensional variable-coefficient Broer-Kaup (vcBK) system. As a result, new and more general 1-soliton, 2-soliton and 3-soliton solutions with arbitrary functions are obtained, from which the uniform formulae of N-soliton solutions are derived. Based on one of the obtained 2-soliton solution, the fission and fusion phenomena between the peakons and solitary waves are investigated. It is shown that the Exp-function method may provide us with a straightforward, effective and alternative mathematical tool for generating N-soliton solutions of nonlinear evolution equations in mathematical physics. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2010.07.042 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
dimensional vcbk system,arbitrary function,nonlinear evolution equation,general 1-soliton,vcbk system,exp-function method,alternative mathematical tool,n-soliton solution,3-soliton solution,new n-soliton solution,n -soliton solutions,2-soliton solution,mathematical physic,fusion phenomenon,n | Soliton,Mathematical optimization,Nonlinear system,Exponential function,Fission,Mathematical analysis,Fusion,Mathematics,One-dimensional space | Journal |
Volume | Issue | ISSN |
61 | 8 | Computers and Mathematics with Applications |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sheng Zhang | 1 | 97 | 18.11 |
| Hongqing Zhang | 2 | 138 | 48.35 |