Integrable discretizations and soliton solution of KdV and mKdV equations
β Scribed by Yi Zhang; Li-gang Jin; Kang-hui Dong
- Book ID
- 113440320
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 190 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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## Abstract This paper presents two different methods for the construction of exact solutions to the combined KdV and mKdV equation. The first method is a direct one based on a general form of solution to both the KdV and the modified KdV (mKdV) equations. The second method is a leading order analy
In this work, we established exact solutions for some nonlinear evolution equations. The extended tanh method was used to construct solitary and soliton solutions of nonlinear evolution equations. The extended tanh method presents a wider applicability for handling nonlinear wave equations.