Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber

DOI10.1080/17455030.2018.1483092zbMath1505.78026OpenAlexW2883106519MaRDI QIDQ5104284

Gao-Fu Deng, Jing-Jing Su, Cui-Cui Ding, Shu-Liang Jia, Yi-Tian Gao

Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1483092

zbMATH Keywords

rational solutionsDarboux dressing transformationcoupled nonlinear Schrödinger equations with the higher-order effectselliptically birefringent optical fibersemirational rogue-wave solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (8)

Lump, mixed lump-kink, breather and rogue waves for a B-type Kadomtsev-Petviashvili equation ⋮ Lax pair, Darboux transformation and rogue waves for the three-coupled fourth-order nonlinear Schrödinger system in an alpha helical protein ⋮ Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber ⋮ Symmetry Reductions, Group‐Invariant Solutions, and Conservation Laws of a (2+1)‐Dimensional Nonlinear Schrödinger Equation in a Heisenberg Ferromagnetic Spin Chain ⋮ Generalized Darboux Transformations, Rogue Waves, and Modulation Instability for the Coherently Coupled Nonlinear Schrödinger Equations in Nonlinear Optics ⋮ Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach ⋮ Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid ⋮ Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves

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