Name
Title | ||
|---|---|---|
Many new kinds exact solutions to (2 + 1)-dimensional Burgers equation and Klein-Gordon equation used a new method with symbolic computation |
Abstract | ||
|---|---|---|
In this paper, we obtained many new exact solutions including 2-soliton solutions, complexiton solutions which possess various combination of trigonometric periodic, hyperbolic function, Jacobi elliptic function and rational function solutions, periodic solutions and rational solutions to (2+1)-dimensional Burgers equations and cubic Klein–Gordon equation, by introducing two sub-equations with different variables. We should point out that this method could be extended in many aspect. If we introduce N sub-equations with different variables for solving nonlinear partial differential equations, we could get N-soliton solutions to nonlinear partial differential equations. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.amc.2006.08.015 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Multi-function expansion method,Complexiton solution,Exact solutions,Burgers equation,Cubic Klein–Gordon equation,N-soliton solution | Periodic function,Elliptic function,Nonlinear system,Mathematical analysis,First-order partial differential equation,Burgers' equation,Hyperbolic function,Rational function,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
186 | 1 | 0096-3003 |
Citations | PageRank | References |
2 | 0.75 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wang Zhen | 1 | 5 | 1.49 |
| Hongqing Zhang | 2 | 138 | 48.35 |