Interaction of lumps and dark solitons in the Mel'nikov equation
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Publication:1798272
DOI10.1007/s11071-018-4180-7zbMath1398.37067OpenAlexW2794296313MaRDI QIDQ1798272
Baonan Sun, Abdul-Majid Wazwaz
Publication date: 23 October 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4180-7
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)
Related Items
Construction of the soliton solutions and modulation instability analysis for the Mel'nikov system, Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations, Interaction of wave structure in the \(\mathcal{PT}\)-symmetric \((3+1)\)-dimensional nonlocal Mel'nikov equation and their applications, Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation, Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system, Doubly localized rogue waves on a background of dark solitons for the Fokas system, Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves, Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation, General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis, Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation, Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves, Dynamics of multi-breathers, N-solitons and M-lump solutions in the \((2+1)\)-dimensional KdV equation, Rogue waves and hybrid solutions of the Davey-Stewartson I equation
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