Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space-time Fokas-Lenells equation
DOI10.1016/J.AML.2023.108971OpenAlexW4390064333MaRDI QIDQ6202744
Yu Xiao, Jiang-Yan Song, Chi-Ping Zhang
Publication date: 27 February 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108971
nonlocal Fokas-Lenells equationhigher-order rogue waves on the M-shaped periodic backgroundhigher-order rogue waves on the mixed M-shaped periodic waves and breather backgroundhigher-order rogue waves on the mixed single-periodic and double-periodic backgroundsemi-degenerate Darboux transformation
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Cites Work
- Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation
- Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons
- Rogue periodic waves of the modified KdV equation
- Then-order rogue waves of Fokas-Lenells equation
- On a novel integrable generalization of the nonlinear Schrödinger equation
- Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: Modulation instability
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