Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system.

ABSTRACT: General semi-rational solutions of an integrable multi-component (2+1)-dimensional long-wave-short-wave resonance interaction system comprising multiple short waves and a single long wave are obtained by employing the bilinear method. These solutions describe the interactions between various types of solutions, including line rogue waves, lumps, breathers and dark solitons. We only focus on the dynamical behaviours of the interactions between lumps and dark solitons in this paper. Our detailed study reveals two different types of excitation phenomena: fusion and fission. It is shown that the fundamental (simplest) semi-rational solutions can exhibit fission of a dark soliton into a lump and a dark soliton or fusion of one lump and one dark soliton into a dark soliton. The non-fundamental s

SUBMITTER: Rao J 

PROVIDER: S-EPMC5806022 | biostudies-literature | 2018 Jan

REPOSITORIES: biostudies-literature