Soliton molecules in Sharma–Tasso–Olver–Burgers equation

Soliton molecules which are the bound states of solitons have been experimentally discovered in optics and theoretically investigated for coupled systems. This Letter is concerned with the formation of soliton molecules by the resonant mechanism for a noncoupled system, the Sharma–Tasso–Olver–Burger...

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Bibliographic Details
Published in:Applied mathematics letters 2020-06, Vol.104, p.106271, Article 106271
Main Authors: Yan, Zhaowen, Lou, Senyue
Format: Article
Language:English
Subjects:
Fissions and fusions
Sharma–Tasso–Olver–Burgers equation
Soliton molecules
Velocity resonance
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Summary:Soliton molecules which are the bound states of solitons have been experimentally discovered in optics and theoretically investigated for coupled systems. This Letter 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 molecules of STOB equation. Moreover, the fission and fusion phenomena among kink molecules and HPK molecules have been revealed.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106271