Exact cross kink-wave solutions and resonance for the Jimbo–Miwa equation

Zhengde Dai, Zitian Li, Zhenjiang Liu and Donglong Li

Physica A: Statistical Mechanics and its Applications, 2007, vol. 384, issue 2, 285-290

Abstract: In this paper, we obtain a new class of exact cross kink-wave and periodic solitary-wave solutions for Jimbo–Miwa equation by using two-soliton method, bilinear method and transforming parameters into complex ones. Moreover, we investigate singular and non-singular phenomenons of solutions. In addition, we study the resonance and non-resonance interactions between y–t periodic solitons and different line solitons.

Keywords: Cross kink; Soliton; Bilinear form; Resonance; Interaction (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:384:y:2007:i:2:p:285-290

DOI: 10.1016/j.physa.2007.05.046

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