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Solitons molecules, lump and interaction solutions to a (2+1)-dimensional Sharma–Tasso–Olver–Burgers equation
- Source :
- Chinese Journal of Physics. 74:175-183
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- Different resonance constraints enrich the behavior of soliton solutions. The soliton molecules, which are the bound states of solitons, can be set off by the velocity resonance. The lump waves, which are localized in all directions in space, are theoretically regarded as a limit form of soliton in some ways. In this paper, a (2+1)-dimensional Sharma–Tasso–Olver–Burgers (STOB) equation is investigated. Soliton (kink) molecule, half periodic kink(HPK) and HPK molecule are studied. Then the lump solution is obtained and the interactions between lump and kink molecule are discussed. The kink molecule-lump solutions exhibit a fusion phenomenon and a rogue (instanton) phenomenon, respectively.
- Subjects :
- Physics
Instanton
Nonlinear Sciences::Exactly Solvable and Integrable Systems
One-dimensional space
Bound state
General Physics and Astronomy
Molecule
Soliton
Space (mathematics)
Nonlinear Sciences::Pattern Formation and Solitons
Resonance (particle physics)
Burgers' equation
Mathematical physics
Subjects
Details
- ISSN :
- 05779073
- Volume :
- 74
- Database :
- OpenAIRE
- Journal :
- Chinese Journal of Physics
- Accession number :
- edsair.doi...........cd9d3ee4769d11d6a4b7679ba411a1ef