This paper presents a direct method for the construction of travelling wave solutions to a higher order KdV equation. The method is based on a generaI form of solution to both the KdV equation and the fifth order KdV equation (FKdV). In this approach a number of unknown constants are involved, and
Travelling wave solutions to a seventh order generalized KdV equation
β Scribed by Wen-xiu Ma
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 183 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0375-9601
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## Soliton solution a b s t r a c t In this work, the improved tanh-coth method is used to obtain wave solutions to a Korteweg-de Vries (KdV) equation with higher-order nonlinearity, from which the standard KdV and the modified Korteweg-de Vries (mKdV) equations with variable coefficients can be d
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.
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