Conservation laws and new exact solutions for the generalized seventh order KdV equation
β Scribed by Yao Ruo-Xia; Li Zhi-Bin
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 283 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0960-0779
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π SIMILAR VOLUMES
Using homogeneous balance method an auto-B⬠a acklund transformation for a generalized variable coefficients 2D KdV equation is obtained. Then new exact solutions are found which include solitary one. Also, we have found certain new analytical soliton-typed solution in terms of the variable coeffici
Applying the improved generalized method, which is a direct and unified algebraic method for constructing multiple travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the KdV-type equations and KdV-Burgers-type equations w
## Abstract In this article, we applied homotopy perturbation method to obtain the solution of the Kortewegβde Vries Burgers (for short, KdVB) and Lax's seventhβorder KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this ty
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