A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions

DOI10.1016/j.cnsns.2020.105408zbMath1475.35108OpenAlexW3034827314MaRDI QIDQ2208209

Ruomeng Li, Xiangguo Geng

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105408

zbMATH Keywords

rogue wavesgeneralized multi-fold Darboux transformationsmatrix Yajima-Oikawa equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton solutions (35C08)

Related Items (9)

Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation ⋮ A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system ⋮ General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model ⋮ Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type ⋮ The coupled modified Yajima-Oikawa system: model derivation and soliton solutions ⋮ Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties ⋮ Application of tetragonal curves to coupled Boussinesq equations ⋮ Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds ⋮ PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background

Cites Work

• Unnamed Item
• Nonlinearization of the Lax system for AKNS hierarchy
• The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
• Modifications of \(k\)-constrained KP hierarchy
• A vector general nonlinear Schrödinger equation with \((m+n)\) components
• Rogue periodic waves of the sine-Gordon equation
• Periodic and rational solutions of the reduced Maxwell-Bloch equations
• Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• Periodic and localized solutions of the long wave–short wave resonance interaction equation
• The collision of multimode dromions and a firewall in the two-component long-wave–short-wave resonance interaction equation
• Algebraic construction of the Darboux matrix revisited
• To the complete integrability of long-wave–short-wave interaction equations
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Significant Interactions Between Small and Large Scale Surface Waves
• A General Theory for Interactions Between Short and Long Waves
• The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
• The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
• Rogue periodic waves of the focusing nonlinear Schrödinger equation
• The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
• Rogue periodic waves of the modified KdV equation
• The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics
• On a vector long wave‐short wave‐type model
• First Order Approximation of an Elliptic 3D Singular Perturbation Problem

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