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Multicnoidal and multitravelling wave solutions for some nonlinear equations of mathematical physics. (English) Zbl 1142.35569
Summary: We extend the Malfliet method of obtaining multisoliton solutions of the Korteweg-de Vries equation to construct several classes of multicnoidal and multitravelling wave solutions for a variety of nonlinear equations of mathematical physics. We illustrate the procedures for single nonlinear equations as well as for coupled nonlinear systems. Several classes of multicnoidal wave solutions are obtained for the model equations considered. Also, multitravelling wave solutions are constructed as reduced cases from the constructed multicnoidal wave solutions. Finally, we conclude the paper and give some features and comments.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations