Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation
DOI10.1134/S0040577922010032zbMath1486.81097OpenAlexW4210328488MaRDI QIDQ2668237
Publication date: 3 March 2022
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577922010032
singularitysymmetry propertiesnonlocal derivative nonlinear Schrödinger equationmatrix Riemann-Hilbert problemzero boundary conditions
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items (3)
Cites Work
- General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems
- The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions
- Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data
- Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Complete integrability of nonlocal nonlinear Schrödinger equation
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Method for Solving the Korteweg-deVries Equation
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- An exact solution for a derivative nonlinear Schrödinger equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Transformations between Nonlocal and Local Integrable Equations
- Integrable Nonlocal Nonlinear Equations
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
- N-soliton solutions and perturbation theory for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
- AnN-soliton solution to the DNLS equation based on revised inverse scattering transform
- The Propagation of Nonlinear Wave Envelopes
- Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions
- Integrable Hamiltonian hierarchies. Spectral and geometric methods
This page was built for publication: Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation
