The mixed nonlinear Schrödinger equation on the half-line

DOI10.1186/s13662-022-03741-5OpenAlexW4310676106MaRDI QIDQ2110492

Guenbo Hwang

Publication date: 21 December 2022

Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-022-03741-5

zbMATH Keywords

initial-boundary value probleminverse scattering transformFokas methodmixed nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Cites Work

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• Madelung fluid description on a generalized mixed nonlinear Schrödinger equation
• The derivative nonlinear Schrödinger equation on the half-line
• Integrable nonlinear evolution equations on the half-line
• Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data
• Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
• A Generalization of Inverse Scattering Method
• Inverse Method for the Mixed Nonlinear Schrödinger Equation and Soliton Solutions
• The Nonlinear Steepest Descent Method: Asymptotics for Initial-Boundary Value Problems
• The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation
• The Defocusing Nonlinear Schrödinger Equation
• A Unified Approach to Boundary Value Problems
• A steepest descent method for oscillatory Riemann-Hilbert problems
• An exact solution for a derivative nonlinear Schrödinger equation
• A unified transform method for solving linear and certain nonlinear PDEs
• Long-time asymptotics for the Kundu–Eckhaus equation on the half-line
• Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
• The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
• The Fokas Method: The Dirichlet to Neumann Map for the Sine‐Gordon Equation
• A Perturbative Approach for the Asymptotic Evaluation of the Neumann Value Corresponding to the Dirichlet Datum of a Single Periodic Exponential for the NLS
• The nonlinear Schrödinger equation on the half-line
• The nonlinear Schrödinger equation with t -periodic data: II. Perturbative results

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