Exact and explicit solitary wave solutions to some nonlinear equations. (English) Zbl 0862.35110

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.


35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35C05 Solutions to PDEs in closed form


Full Text: DOI


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