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New solitary wave solutions to nonlinear evolution equations by the exp-function method. (English) Zbl 1219.35224
Summary: A new application of the exp-function method in combination with the dependent variable transformation from singularity analysis is proposed for constructing new generalized solitary wave solutions and periodic wave solutions for nonlinear evolution equations. The Korteweg-de Vries equation is chosen to illustrate the validity and applicability of the suggested approach.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35C08Soliton solutions of PDE
References:
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