Solitary wave solutions of the improved KdV equation by VIM
β Scribed by Saleh M. Hassan; Naif M. Alotaibi
- Book ID
- 108051870
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 658 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0096-3003
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## Abstract This paper presents a mapping approach for the construction of exact solutions to the combined KdV and mKdV equation. There exist two types of soliton solutions which will reduce back to those of the KdV and mKdV equations in some appropriate limits. Four types of the general cnoidal wa
In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new s
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