Exact periodic cross-kink wave solutions and breather type of two-solitary wave solutions for the \((3 + 1)\)-dimensional potential-YTSF equation. (English) Zbl 1219.35241

Summary: The (3+1)-dimensional potential-YTSF equation is investigated. Exact solutions with three-wave form including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave solutions are obtained using Hirota’s bilinear form and generalized three-wave approach with the aid of symbolic computation. Moreover, the properties for some new solutions are shown with some figures.


35Q53 KdV equations (Korteweg-de Vries equations)
35C08 Soliton solutions
Full Text: DOI


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