Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair
From MaRDI portal
Publication:2021470
DOI10.1016/j.aml.2020.106999zbMath1481.35113OpenAlexW3117191823MaRDI QIDQ2021470
Publication date: 27 April 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2020.106999
Darboux transformationLax pairhigher-order coupled nonlinear Schrödinger systembeak-shaped rogue waves
Related Items
Hybrid solutions of a (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in an incompressible fluid ⋮ Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain ⋮ Long-time asymptotics of solution to the coupled Hirota system with \(4 \times 4\) Lax pair ⋮ Solitons, breathers and modulation instability for a higher-order coupled nonlinear Schrödinger system for the ultrashort optical pulses in a nonlinear medium ⋮ Riemann-Hilbert approach and \(N\)-soliton solutions for a higher-order coupled nonlinear Schrödinger system ⋮ Periodic-wave and semi-rational solutions for the \((3+1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation ⋮ Solitonic fusion and fission for a \((3 + 1)\)-dimensional generalized nonlinear evolution equation arising in the shallow water waves ⋮ Degenerate soliton, breather and localized solutions for a nonlinear Schrödinger and Maxwell-Bloch system ⋮ Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid
Cites Work
- Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation
- Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber
- High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling
- Localized waves and interactions for the high dimensional nonlinear evolution equations
- Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair
- Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics
- Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants
- Financial Rogue Waves
- Bäcklund transformations and loop group actions
- Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations
- Oceanic Rogue Waves