Inverse Scattering Transform for the Defocusing Manakov System with Non-Parallel Boundary Conditions at Infinity

DOI10.4208/eajam.261021.230122zbMath1495.35151OpenAlexW4293412976WikidataQ114021211 ScholiaQ114021211MaRDI QIDQ5866600

Gino Biondini, Asela Abeya, Barbara Prinari

Publication date: 22 September 2022

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.261021.230122

zbMATH Keywords

inverse scattering transformsolitonManakov system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (3)

Manakov system with parity symmetry on nonzero background and associated boundary value problems ⋮ Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons ⋮ Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions

Cites Work

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• On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
• The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
• Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions
• Interactions and asymptotics of dispersive shock waves -- Korteweg-de Vries equation
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations
• The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions
• The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions
• Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation with a One-Sided Non-Zero Boundary Condition
• Inverse Scattering Transform for the Multi-Component Nonlinear Schrödinger Equation with Nonzero Boundary Conditions
• The focusing Manakov system with nonzero boundary conditions
• Direct and inverse scattering transforms with arbitrary spectral singularities
• Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
• Scattering and inverse scattering for first order systems
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• Asymptotic Solutions of the Korteweg-deVries Equation
• The collisionless shock region for the long‐time behavior of solutions of the KdV equation
• Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability
• A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation
• Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
• Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data
• On periodic solutions and their modulations of the Manakov system
• On the Spectrum of the Dirac Operator and the Existence of Discrete Eigenvalues for the Defocusing Nonlinear Schrödinger Equation
• The Propagation of Nonlinear Wave Envelopes

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