The superposition method in seeking the solitary wave solutions to the KdV-Burgers equation
β Scribed by Yuanxi Xie; Jiashi Tang
- Book ID
- 110638430
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 135 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0304-4289
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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