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
Exact solitary wave solutions for a generalized KdV–Burgers equation
✍ Scribed by M.M. Hassan
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 92 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
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-dimensional KdVB equation is discussed. Some particular cases of the generalized KdVB equation are solved by using these methods.
📜 SIMILAR VOLUMES
In this work, a generalized time-dependent variable coefficients combined KdV-mKdV (Gardner) equation arising in plasma physics and ocean dynamics is studied. By means of three amplitude ansatz that possess modified forms to those proposed by Wazwaz in 2007, we have obtained the bell type solitary w
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 [