In this paper, we first introduced improved projective Riccati method by means of two simplified Riccati equations. Applying the improved method, we consider the general types of KdV and KdV-Burgers equations with nonlinear terms of any order. As a result, many explicit exact solutions, which contai
Solitary wave and chaotic behavior of traveling wave solutions for the coupled KdV equations
β Scribed by Jibin Li; Yi Zhang
- Book ID
- 113439664
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 165 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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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
In this work we devise an algebraic method to uniformly construct solitary wave solutions and doubly periodic wave solutions of physical interest for the Kersten-KrasilΓshchik coupled KdV-mKdV system. This system as the classical part of one of superextension of the KdV equation was proposed very re