Rogue waves and their patterns for the coupled Fokas-Lenells equations

DOI10.1016/J.PHYSD.2024.134111MaRDI QIDQ6546001

Huajie Su, Liming Ling

Publication date: 29 May 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

asymptotic analysisDarboux transformationcoupled Fokas-Lenells equationrogue wave pattern

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) 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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Riemann-Hilbert problems in context of PDEs (35Q15) Pattern formations in context of PDEs (35B36)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation
• On a class of physically important integrable equations
• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• General soliton solutions to a coupled Fokas-Lenells equation
• Rogue wave patterns in the nonlinear Schrödinger equation
• On poles of the rational solution of the Toda equation of Painlevé-IV type
• Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
• A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: II. Dark soliton solutions
• Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers
• An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
• An exact solution for a derivative nonlinear Schrödinger equation
• Determinant structure of the rational solutions for the Painlevé IV equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Special polynomials and the Hirota Bilinear relations of the second and the fourth Painlevé equations
• General rogue wave solutions of the coupled Fokas–Lenells equations and non-recursive Darboux transformation
• Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy
• Then-order rogue waves of Fokas-Lenells equation
• Peregrine solitons and algebraic soliton pairs in Kerr media considering space-time correction
• Rogue waves and their patterns in the vector nonlinear Schrödinger equation

Related Items (2)

Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation ⋮ Rogue wave patterns of two-component nonlinear Schrödinger equation coupled to the Boussinesq equation

This page was built for publication: Rogue waves and their patterns for the coupled Fokas-Lenells equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6546001)