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Zbl 0862.35110
Zhang, Jiefang
Exact and explicit solitary wave solutions to some nonlinear equations. (English)
[J] Int. J. Theor. Phys. 35, No.8, 1793-1798 (1996). ISSN 0020-7748; ISSN 1572-9575/e

Summary: Exact and explicit solitary wave solutions are obtained for some physically interesting nonlinear evolutions and wave equations in physics and other fields by using a special transformation. These equations include the KdV-Burgers equation, the MKdV-Burgers equation, the combined KdV-MKdV equation, the Newell-Whitehead equation, the dissipative $\Phi^4$-model equation, the generalized Fisher equation, and the elastic-medium wave equation.

MSC 2000:: *35Q53 KdV-like equations
35Q51 Solitons
35C05 Solutions of PDE in closed form

Keywords: explicit solitary wave solutions; KdV-Burgers equation; KdV-MKdV equation; Newell-Whitehead equation; Fisher equation; elastic-medium wave equation

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