Soliton molecules in Sharma-Tasso-Olver-Burgers equation
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Publication:2176496
DOI10.1016/J.AML.2020.106271zbMATH Open1437.35149arXiv1912.13324OpenAlexW3005468546MaRDI QIDQ2176496
Author name not available (Why is that?)
Publication date: 4 May 2020
Published in: (Search for Journal in Brave)
Abstract: Soliton molecules have been experimentally discovered in optics and theoretically investigated for coupled systems. This paper is concerned with the formation of soliton molecules by the resonant mechanism for a noncoupled system, the Sharma-Tasso-Olver-Burgers (STOB) equation. In terms of introducing velocity resonance conditions, we derive the soliton (kink) molecules, half periodic kink (HPK) molecules and breathing soliton molecule of STOB equation. Meanwhile, the fission and fusion phenomena among kinks, kink molecules, HPKs and HPK molecules have been revealed. Moreover, we also discuss the central periodic kink solutions from the multiple solitary wave solutions.
Full work available at URL: https://arxiv.org/abs/1912.13324
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