Breather molecules and localized interaction solutions in the (2+1)-dimensional BLMP equation
- 13 October 2021
- journal article
- research article
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 73 (12)
- https://doi.org/10.1088/1572-9494/ac2f2b
Abstract
The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation is an important integrable model. In this paper, we obtain the breather molecule, the breather-soliton molecule and some localized interaction solutions to the BLMP equation. In particular, by employing a compound method consisting of the velocity resonance, partial module resonance and degeneration of the breather techniques, we derive some interesting hybrid solutions mixed by a breather-soliton molecule/breather molecule and a lump, as well as a bell-shaped soliton and lump. Due to the lack of the long wave limit, it is the first time using the compound degeneration method to construct the hybrid solutions involving a lump. The dynamical behaviors and mathematical features of the solutions are analyzed theoretically and graphically. The method introduced can be effectively used to study the wave solutions of other nonlinear partial differential equations.Keywords
Funding Information
- National Natural Science Foundation of China (11775116)
- Qinglan Project of Jiangsu Province of China
This publication has 25 references indexed in Scilit:
- Breather Wave MoleculesPhysical Review Letters, 2019
- Breather waves and rational solutions in the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equationComputers & Mathematics with Applications, 2018
- Interaction phenomena between a lump and other multi-solitons for the $${\mathbf {(2+1)}}$$ ( 2 + 1 ) -dimensional BLMP and Ito equationsNonlinear Dynamics, 2018
- New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equationsNonlinear Dynamics, 2015
- Instabilities, breathers and rogue waves in opticsNature Photonics, 2014
- Soliton molecules in dipolar Bose-Einstein condensatesPhysical Review A, 2012
- New exact solutions and Bäcklund transformation for Boiti–Leon–Manna–Pempinelli equationPhysics Letters A, 2011
- Exact solutions and conservation laws of (2+1)-dimensional Boiti–Leon–Pempinelli equationApplied Mathematics and Computation, 2010
- Experimental Observation of Temporal Soliton MoleculesPhysical Review Letters, 2005
- What will happen when a dromion meets with a ghoston?Physics Letters A, 2003