Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds

DOI10.1016/j.aml.2023.108661zbMath1530.35285MaRDI QIDQ6112031

Ruomeng Li, Xiangguo Geng, Jingru Geng

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Darboux transformationsBaker-Akhiezer functionsFokas-Lenells equationlocalized waves on theta-function backgrounds

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

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Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation

Cites Work

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• Soliton on a cnoidal wave background in the coupled nonlinear Schrödinger equation
• Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background
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