Domain walls and vector solitons in the coupled nonlinear Schrödinger equation

DOI10.1088/1751-8121/ad1622arXiv2308.14743OpenAlexW4389820320MaRDI QIDQ6184826

Unnamed Author, Yi Ping Ma

Publication date: 29 January 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.14743

zbMATH Keywords

domain wallsvector solitonscoupled nonlinear Schrödinger

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24) Time-dependent Schrödinger equations and Dirac equations (35Q41) Classical solutions to PDEs (35A09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact domain-wall solitons
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
• To the integrability of the system of two coupled nonlinear Schrödinger equations
• Travelling wave solutions of the modified Korteweg-deVries-Burgers equation
• Front propagation into unstable states
• Spectral and dynamical stability of nonlinear waves
• Classification of the solitary waves in coupled nonlinear Schrödinger equations
• Dispersive shock waves and modulation theory
• New findings for the old problem: exact solutions for domain walls in coupled real Ginzburg-Landau equations
• Domain walls in the coupled Gross-Pitaevskii equations
• Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system
• Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system
• Bose-Einstein Condensation and Superfluidity
• Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
• The Defocusing Nonlinear Schrödinger Equation
• Interacting nonlinear wave envelopes and rogue wave formation in deep water
• Some Nonlinear Multiphase Interactions
• Front Propagation in Heterogeneous Media
• Bright and dark soliton solutions to coupled nonlinear Schrodinger equations
• Integrable properties of the general coupled nonlinear Schrödinger equations
• Painleve analysis and integrability of coupled non-linear Schrodinger equations

This page was built for publication: Domain walls and vector solitons in the coupled nonlinear Schrödinger equation