\( \bar \partial \)-dressing method for three-component coupled nonlinear Schrödinger equations

DOI10.11948/20220549MaRDI QIDQ6616889

Biao Li, Shuxin Yang

Publication date: 9 October 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

Lax pairsoliton solution\( \bar{\partial} \)-dressing methodthree-component coupled nonlinear Schrödinger equations

Mathematics Subject Classification ID

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) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Cites Work

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• The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates
• A dressing method in mathematical physics.
• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
• The D-bar approach to inverse scattering and nonlinear evolutions
• The dressing method and nonlocal Riemann-Hilbert problems
• Generalized Darboux transformation and localized waves in coupled Hirota equations
• \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
• The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system
• A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation
• Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method
• Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method
• The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation
• Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics
• Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions
• A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• Inverse Spectral Transform for the Nonlinear Evolution Equation Generating the Davey-Stewartson and Ishimori Equations
• The non-local delta problem and (2+1)-dimensional soliton equations
• An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line
• \(\bar{\partial}\)-dressing method for the \((2+1)\)-dimensional Korteweg-de Vries equation
• The ``good Boussinesq equation: long-time asymptotics

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