Interaction of solitary waves for the generalized KdV equation
✍ Scribed by Martin G. Garcia Alvarado; Georgii A. Omel’yanov
- Book ID
- 113547157
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 916 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1007-5704
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📜 SIMILAR VOLUMES
Using the special truncated expansion method, the solitary wave solutions are constructed for the compound Korteweg-de Vries-Burgers (KdVB) equation. Exact and explicit solitary wave solutions for a generalized KdVB equation are obtained by introducing a suitable ansatz equation. The generalized two
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
In this paper, we consider orbital stability of solitary waves with nonzero asymptotic value for the compound KdV equation. We present six explicit exact solitary waves with nonzero asymptotic value for this equation. To study their orbital stability, we utilize a translation transformation. Further
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