Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds

DOI10.1016/j.physd.2021.133005zbMath1483.78005OpenAlexW3198382410MaRDI QIDQ2077598

Minghe Zhang, Guoqiang Zhang, Weifang Weng, Zhenya Yan, Li Wang

Publication date: 21 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.physd.2021.133005

zbMATH Keywords

multiple roots\(n\)-component Hirota equationmodified Darboux transformnon-integrable deformationnon-zero backgroundsrational RWs and \(W\)-shaped solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (6)

Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation ⋮ Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions ⋮ Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation ⋮ Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type ⋮ Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds ⋮ Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation

Cites Work

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• Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms
• Rogue waves in the ocean
• Modulation instability: The beginning
• Physical mechanisms of the rogue wave phenomenon.
• Vector financial rogue waves
• Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions
• Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics
• The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
• Financial Rogue Waves
• Water waves, nonlinear Schrödinger equations and their solutions
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Bäcklund transformations and loop group actions
• Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation
• Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
• Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation
• The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
• Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions
• Vector rogue waves in the Manakov system: diversity and compossibility
• The disintegration of wave trains on deep water Part 1. Theory
• Exact envelope-soliton solutions of a nonlinear wave equation
• Rogue Waves

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