General bright-dark soliton solution to \((2+1)\)-dimensional multi-component long-wave-short-wave resonance interaction system

DOI10.1007/s11071-016-3309-9zbMath1375.35071OpenAlexW2567648697MaRDI QIDQ1681755

Yong Chen, Bao-Feng Feng, Junchao Chen, Zheng-Yi Ma

Publication date: 24 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-3309-9

zbMATH Keywords

bright-dark multi-soliton solutionKP hierarchy reductionlong-wave-short-wave resonance interaction system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)

Related Items (6)

Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system ⋮ Lumps and rogue waves of generalized Nizhnik-Novikov-Veselov equation ⋮ Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems ⋮ Two \((2+1)\)-dimensional integrable nonlocal nonlinear Schrödinger equations: breather, rational and semi-rational solutions ⋮ General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis ⋮ Rogue waves and hybrid solutions of the Davey-Stewartson I equation

Cites Work

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• Solutions for the vector k-constrained KP hierarchy
• Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima–Oikawa hierarchy
• Asymptotic reductions of two coupled (2 + 1)-dimensional nonlinear Schrödinger equations: application to Bose–Einstein condensates

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