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Li, Zitian; Dai, Zhengde

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

Comput. Math. Appl. 61, No. 8, 1939-1945 (2011).
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.

Cited in 9 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C08 Soliton solutions

Keywords:

YTSF equation; Hirota; three-wave; periodic; soliton
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\textit{Z. Li} and \textit{Z. Dai}, Comput. Math. Appl. 61, No. 8, 1939--1945 (2011; Zbl 1219.35241)
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