Buchumschlag

Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under non-zero boundary conditions

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Xu, Chuanxin, Xu, Tao, Li, Min
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Exactly Solvable and Integrable Systems Mathematical Physics
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Inverse scattering theory for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under arbitrarily large nonzero boundary conditions
von: Xu, Chuanxin, et al.
Veröffentlicht: (2026)

Inverse scattering transform for the discrete nonlocal PT symmetric nonlinear Schrödinger equation with nonzero boundary conditions
von: Liu, Ya-Hui, et al.
Veröffentlicht: (2024)

Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions: double-pole solutions
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

The Riemann-Hilbert approach for the nonlocal derivative nonlinear Schrödinger equation with nonzero boundary conditions
von: Liu, Xin-Yu, et al.
Veröffentlicht: (2024)

Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-parallel boundary conditions at infinity
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

Spectral theory for non-self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the focusing nonlinear Schrödinger equation with periodic boundary conditions
von: Biondini, Gino, et al.
Veröffentlicht: (2025)

Generalised reversible transformations and the inhomogeneous nonlinear Schrödinger equation hierarchy
von: Nandy, Sudipta, et al.
Veröffentlicht: (2019)

Darboux transformations and related non-Abelian integrable differential-difference systems of the derivative nonlinear Schrödinger type
von: Peroni, Edoardo, et al.
Veröffentlicht: (2025)

Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
von: Fan, Engui, et al.
Veröffentlicht: (2026)

Rigorous asymptotic analysis for the Riemann problem of the defocusing nonlinear Schrödinger hydrodynamics
von: Wang, Deng-Shan, et al.
Veröffentlicht: (2023)

Defocusing Hirota equation with fully asymmetric non-zero boundary conditions: the inverse scattering transform
von: Ye, Rusuo, et al.
Veröffentlicht: (2024)

Factorization conditions for nonlinear second-order differential equations
von: Gonzalez, G., et al.
Veröffentlicht: (2022)

Comment on "Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation"
von: Schuermann, Hans Werner, et al.
Veröffentlicht: (2025)

The semi-discrete complex modified Korteweg-de Vries equation with zero and non-zero boundary conditions: Riemann-Hilbert approach and N-soliton solutions
von: Deng, Bo-Jie, et al.
Veröffentlicht: (2024)

The integrable semi-discrete nonlinear Schrödinger equations with nonzero backgrounds: Bilinearization-reduction approach
von: Deng, Xiao, et al.
Veröffentlicht: (2024)

Integrable boundary conditions for the nonlinear Schrödinger hierarchy
von: Xia, Baoqiang
Veröffentlicht: (2025)

Exact solutions of the reverse space-time higher-order modified self-steepening nonlinear Schrödinger equation
von: Wang, Yanan, et al.
Veröffentlicht: (2025)

Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
von: Han, Peng-Fei, et al.
Veröffentlicht: (2024)

Inverse scattering transform for the focusing two-component Hirota equation with nonzero boundary conditions
von: Zhang, Feng, et al.
Veröffentlicht: (2025)

On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
von: Euler, Marianna, et al.
Veröffentlicht: (2024)

Sundman-like transformations and the NRT nonlinear Schrödinger equation
von: Gordoa, P. R., et al.
Veröffentlicht: (2025)

Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions
von: Shi, Changyan, et al.
Veröffentlicht: (2026)

Symmetries of linear and nonlinear partial differential equations
von: Kaptsov, Oleg
Veröffentlicht: (2024)

Spectral theory for self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the defocusing nonlinear Schroedinger equation with periodic boundary conditions
von: Biondini, Gino, et al.
Veröffentlicht: (2023)

Integrable boundary conditions for quad equations, open boundary reductions and integrable mappings
von: Caudrelier, Vincent, et al.
Veröffentlicht: (2020)

The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach
von: Zhang, Da-jun, et al.
Veröffentlicht: (2022)

Implementation of the inverse scattering transform method for the nonlinear Schrödinger equation
von: Kravchenko, Vladislav V.
Veröffentlicht: (2025)

Exact solutions and reductions of nonlinear Schrödinger equations with delay
von: Polyanin, Andrei D., et al.
Veröffentlicht: (2024)

Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions
von: Hori, Ayako, et al.
Veröffentlicht: (2025)

Lie symmetry structure of nonlinear wave equations in $(n+1)$-dimensional space-time
von: Basarab-Horwath, P., et al.
Veröffentlicht: (2021)

The dynamic of the positons for the reverse space-time nonlocal short pulse equation
von: Shan, Jiaqing, et al.
Veröffentlicht: (2024)

Solitons of the constrained Schrödinger equations
von: Vekslerchik, V. E.
Veröffentlicht: (2025)

Long-time behaviors of the two-component nonlinear Klein-Gordon equation: higher-order asymptotics
von: Wang, Deng-Shan, et al.
Veröffentlicht: (2025)

Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential
von: Polyanin, Andrei D., et al.
Veröffentlicht: (2024)

Painlevé-type asymptotics for the defocusing Manakov system with nonzero boundary conditions
von: Zhang, Haibing, et al.
Veröffentlicht: (2026)

Semiclassical dynamics and coherent soliton ensembles in the derivative nonlinear Schrödinger equation with periodic initial conditions
von: Wolski, Zachery, et al.
Veröffentlicht: (2025)

Arbitrary-genus dark soliton gases in the defocusing nonlinear Schrödinger hydrodynamics
von: Bertola, Marco, et al.
Veröffentlicht: (2026)

Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
von: Zhao, Song-lin, et al.
Veröffentlicht: (2024)

Action-angle variables for the nonlinear Schrödinger equation on the half-line
von: Xia, Baoqiang
Veröffentlicht: (2024)

Integrable perturbation theory for dark solitons of the defocusing nonlinear Schrödinger equation
von: Ossi, Nicholas J., et al.
Veröffentlicht: (2025)