Exact solutions for the Bogoyavlenskii coupled KdV equations
β Scribed by Bo Tian; Yi-Tian Gao
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 197 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By using some exact solutions of an auxiliary ordinary differential equation, a new direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the complex coupled KdV equations and modified KdV equation. N
By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact solutions for nonlinear evolution equations. By this method two generalized Hirota-Satsuma coupled KdV systems are investigated and new exact solutions are explicitly
## Abstract This paper presents two different methods for the construction of exact solutions to the combined KdV and mKdV equation. The first method is a direct one based on a general form of solution to both the KdV and the modified KdV (mKdV) equations. The second method is a leading order analy