In the present note, by use of the hyperbolic tangent method, a progressive wave solution to the Korteweg-de Vries-Burgers (KdVB) equation is presented. The solution we introduced here is less restrictive and comprises some solutions existing in the current literature (see [
Exact solutions to the KdV-Burgers' equation
β Scribed by A. Jeffrey; M.N.B. Mohamad
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 379 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0165-2125
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π 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 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.
## 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