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- Title
The lump, lump off and rogue wave solutions of a (2+1)-dimensional breaking soliton equation.
- Authors
Chen, Yiren; Yu, Zong-Bing; Zou, Li
- Abstract
In this work, the ( 2 + 1 )-dimensional breaking soliton equation is investigated, which can be used to describe certain properties of exact solutions. We construct the lump soliton and more general lump soliton with more arbitrary parameters via using Hirota bilinear method. Furthermore, the lump off solution is presented by considering a stripe soliton solution generated completely with the lump solution. The lump part is cut by soliton part before and after a special time. Finally, according to a pair of stripe solitons, we construct the special rogue waves by cutting the lump soliton. Our results show that the occurrence of rogue wave time and location can be captured by tracking the motion path of the lump solution and confirming when and where it collides with visible solitons.
- Subjects
ROGUE waves; SOLITONS; ARBITRARY constants; MOTION capture (Human mechanics); TRACKING algorithms; EQUATIONS; STRIPES
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 1, p591
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-022-07823-7