Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions
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Publication:5883915
DOI10.1063/5.0061807OpenAlexW4214556750WikidataQ114160502 ScholiaQ114160502MaRDI QIDQ5883915
Publication date: 17 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.12073
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation
- Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
- Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions
- The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions
- Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background
- Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach
- Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions
- Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
- Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
- Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions
- Inverse scattering transformation for generalized nonlinear Schrödinger equation
- Inverse scattering transform of an extended nonlinear Schrödinger equation with nonzero boundary conditions and its multisoliton solutions
- Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- The rogue wave and breather solution of the Gerdjikov-Ivanov equation
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Darboux transformations for a matrix long‐wave–short‐wave equation and higher‐order rational rogue‐wave solutions
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- Higher-Order Solitons in the N-Wave System
- Method for Solving the Korteweg-deVries Equation
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
- On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles
- The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics
- General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
- The regularity of the multiple higher‐order poles solitons of the NLS equation
- The Gerdjikov‐Ivanov–type derivative nonlinear Schrödinger equation: Long‐time dynamics of nonzero boundary conditions
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
- Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions