Soliton molecules in Sharma-Tasso-Olver-Burgers equation
Pattern Formation and Solitons
2020-04-15 v2
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.
Keywords
Cite
@article{arxiv.1912.13324,
title = {Soliton molecules in Sharma-Tasso-Olver-Burgers equation},
author = {Zhaowen Yan and Senyue Lou},
journal= {arXiv preprint arXiv:1912.13324},
year = {2020}
}