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Zbl 1078.35109
Wazwaz, Abdul-Majid
Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations.
(English)
[J] Appl. Math. Comput. 169, No. 1, 639-656 (2005). ISSN 0096-3003

Summary: Exact travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations are obtained. The analysis rests mainly on the standard tanh method. The work emphasizes the need for a transformation formula for the case where the parameter $M$ is non-integer.
MSC 2000:
*35Q53 KdV-like equations
37K40 Soliton theory, asymptotic behavior of solutions
35C05 Solutions of PDE in closed form
65M99 Numerical methods for IVP of PDE

Keywords: tanh method; Burgers equation; Burgers-KdV equation; Burgers-Huxley equation; Huxley equation; travelling wave solutions

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