A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line
From MaRDI portal
Publication:1782025
DOI10.1007/s10255-018-0765-7zbMath1403.35193OpenAlexW2886068146WikidataQ129406030 ScholiaQ129406030MaRDI QIDQ1782025
En-gui Fan, Tie-cheng Xia, Ning Zhang
Publication date: 18 September 2018
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-018-0765-7
NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
Related Items (25)
Riemann-Hilbert approach and \(N\)-soliton solutions for a negative matrix AKNS system with a Hermitian symmetric space ⋮ Long-time asymptotics for the generalized Sasa-Satsuma equation ⋮ \(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach ⋮ Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem ⋮ An integrable lattice hierarchy associated with a \(4 \times 4\) matrix spectral problem: \(N\)-fold Darboux transformation and dynamical properties ⋮ On the Riemann-Hilbert problem of the Kundu equation ⋮ On the Riemann–Hilbert problem of a generalized derivative nonlinear Schrödinger equation ⋮ Double and triple-pole solutions for the third-order flow equation of the Kaup-Newell system with zero/nonzero boundary conditions ⋮ Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications ⋮ Riemann–Hilbert problems and N-soliton solutions of the nonlocal reverse space-time Chen–Lee–Liu equation ⋮ Dark two-soliton solutions for nonlinear Schrödinger equations in inhomogeneous optical fibers ⋮ Solutions on the periodic background and transition state mechanisms for the higher-order Chen-Lee-Liu equation ⋮ \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP ⋮ On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation ⋮ Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov-Ivanov equation ⋮ Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation ⋮ Two-soliton solutions of the complex short pulse equation via Riemann-Hilbert approach ⋮ Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation ⋮ Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system ⋮ Phase-shift controlling of three solitons in dispersion-decreasing fibers ⋮ Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system ⋮ PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background ⋮ A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line ⋮ Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers ⋮ Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- An existence and uniqueness theorem for a second order nonlinear system with coupled integral boundary value conditions
- Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources
- Global dynamics for a new high-dimensional SIR model with distributed delay
- Frobenius integrable decompositions of nonlinear evolution equations with modified term
- Uniqueness of solution for boundary value problems for fractional differential equations
- Integrability and exact solutions of a two-component Korteweg-de Vries system
- An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy
- On a class of physically important integrable equations
- The derivative nonlinear Schrödinger equation on the half-line
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism
- Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
- Two–dimensional linear partial differential equations in a convex polygon
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- Soliton Solutions of the Derivative Nonlinear Schrödinger Equation
- A new integrable symplectic map and the lie point symmetry associated with nonlinear lattice equations
- The nonlinear Schrödinger equation on the interval
- An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
- An exact solution for a derivative nonlinear Schrödinger equation
- A unified transform method for solving linear and certain nonlinear PDEs
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- Higher order asymptotics of the modified non-linear schrödinger equation
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Existence of solutions for coupled integral boundary value problem at resonance
- A Riemann–Hilbert Approach to Complex Sharma–Tasso–Olver Equation on Half Line *
- Gauge transformations of constrained KP flows: New integrable hierarchies
- On a novel integrable generalization of the nonlinear Schrödinger equation
This page was built for publication: A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line