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Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations. (English) Zbl 1078.35109

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:

35Q53 KdV equations (Korteweg-de Vries equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35C05 Solutions to PDEs in closed form
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Software:

MACSYMA
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References:

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