The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach
DOI10.1134/S0040577921110040zbMath1482.81011OpenAlexW3217723814WikidataQ114075193 ScholiaQ114075193MaRDI QIDQ2056845
Yan Li, Ruiqi Wang, Ling Zhang, Bei-Bei Hu
Publication date: 8 December 2021
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577921110040
initial-boundary value problemRiemann-Hilbert problemunified transform methodcombined nonlinear Schrödinger and Gerdjikov-Ivanov equation
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for integral transforms (65R10) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness for a generalized derivative nonlinear Schrödinger equation
- Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model
- Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
- The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
- The derivative nonlinear Schrödinger equation on the half-line
- Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line
- Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation
- Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
- An initial-boundary value problem for the nonlinear Schrödinger equation
- Integrable nonlinear evolution equations on the half-line
- Boundary value problems for the elliptic sine-Gordon equation in a semi-strip
- Focusing singularity in a derivative nonlinear Schrödinger equation
- A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation
- Two–dimensional linear partial differential equations in a convex polygon
- Nonlinear Fourier Transforms and the mKdV Equation in the Quarter Plane
- Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line
- The rogue wave and breather solution of the Gerdjikov-Ivanov equation
- Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc
- A Unified Approach to Boundary Value Problems
- An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
- A unified transform method for solving linear and certain nonlinear PDEs
- A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half‐line
- N-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
- Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
- Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line
- The nonlinear Schrödinger equation on the half-line
- On a novel integrable generalization of the nonlinear Schrödinger equation
This page was built for publication: The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach
