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Exact solitary wave solutions for a generalized KdV-Burgers equation. (English) Zbl 1068.35129

Summary: 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.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
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