Exact solutions for KdV system equations hierarchy
β Scribed by Tong-ke Ning; Chong-feng Wu; Da-jun Zhang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 184 KB
- Volume
- 377
- Category
- Article
- ISSN
- 0378-4371
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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
## 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
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