Higher-order rogue wave solutions of the \((2+1)\)-dimensional Fokas-Lenells equation
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Publication:2685017
DOI10.1016/j.wavemoti.2022.103065OpenAlexW4304943067MaRDI QIDQ2685017
Huijie Song, Xin-Yue Li, Qiu-Lan Zhao
Publication date: 17 February 2023
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2022.103065
generalized Darboux transformationmodulation instabilityinfinitely many conservation laws\((2+1)\)-dimensional Fokas-Lenells equationhigher-order rogue wave solutions
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Cites Work
- Waves that appear from nowhere and disappear without a trace
- Rogue waves in the ocean
- Extreme waves that appear from nowhere: on the nature of rogue waves
- On a class of physically important integrable equations
- Modulation instability: The beginning
- A Liouville integrable lattice soliton equation, infinitely many conservation laws and integrable coupling systems
- Nonlinear waves in the modulation instability regime for the fifth-order nonlinear Schrödinger equation
- Observation of rogue wave triplets in water waves
- Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Rogue waves in nonlinear hyperbolic systems (shallow-water framework)
- A coupled “AB” system: Rogue waves and modulation instabilities
- Then-order rogue waves of Fokas-Lenells equation
- On a novel integrable generalization of the nonlinear Schrödinger equation
- Dynamics of mixed lump-soliton for an extended (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation