We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Resonance solitons, soliton molecules and hybrid solutions for a (2+1)-dimensional nonlinear wave equation arising in the shallow water wave.
- Authors
Zhang, Xueqing; Ren, Bo
- Abstract
In this paper, a systematic study for a ( 2 + 1 )-dimensional nonlinear wave equation is performed. Based on the Hirota bilinear method, N-soliton solutions are obtained. By combining the asymptotic analysis with restricting the parameters of the two-soliton, X-type solitons and Y-type solitons are derived. The hybrid solutions among Y-type soliton, breather solution and lump are presented. In the meanwhile, new bound state molecules including lump-soliton molecule, lump-breather molecule and breather molecule are investigated through mechanisms of velocity resonance and mode resonance. The dynamics of these hybrid solutions are analyzed by the symbolic computations and graphs ways.
- Subjects
SHALLOW-water equations; WATER waves; WATER depth; SOLITONS; NONLINEAR wave equations; RESONANCE; BOUND states
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 6, p4793
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-024-09285-5