Existence and stability results on a class of nonlinear Schrödinger equations in bounded domains with Dirichlet boundary conditions

European Journal of Mathematics ◽

10.1007/s40879-015-0074-0 ◽

2015 ◽

Vol 1 (4) ◽

pp. 773-798

Author(s):

Marco Ghimenti ◽

Dimitrios Kandilakis ◽

Manolis Magiropoulos

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Nonlinear Schrödinger Equations ◽

Dirichlet Boundary Conditions ◽

Bounded Domains ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Existence And Stability ◽

Stability Results

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Split-step modified cubic B-splines collocation methods for nonlinear Schrödinger equations with Dirichlet boundary conditions

10.1063/1.5114567 ◽

2019 ◽

Author(s):

Shanshan Wang

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Nonlinear Schrödinger Equations ◽

Dirichlet Boundary Conditions ◽

Collocation Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

B Splines ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations: Two-dimensional case

Physical Review E ◽

10.1103/physreve.79.046711 ◽

2009 ◽

Vol 79 (4) ◽

Author(s):

Jiwei Zhang ◽

Zhenli Xu ◽

Xiaonan Wu

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Dimensional Case ◽

Schrödinger Equations ◽

Two Dimensional ◽

Unified Approach ◽

Absorbing Boundary ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.063 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 1121-1152 ◽

Author(s):

Liliana Esquivel ◽

Nakao Hayashi ◽

Elena I. Kaikina

Keyword(s):

Boundary Value Problem ◽

Dirichlet Boundary ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Dirichlet Boundary Value Problem ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line

Journal of Mathematical Physics ◽

10.1063/1.4941459 ◽

2016 ◽

Vol 57 (2) ◽

pp. 021511 ◽

Author(s):

Varga K. Kalantarov ◽

Türker Özsarı

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Half Line ◽

Schrödinger Equations ◽

Qualitative Properties ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Qualitative Properties Of Solutions

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Multicomponent nonlinear Schrödinger equations with constant boundary conditions

Theoretical and Mathematical Physics ◽

10.1007/s11232-009-0067-6 ◽

2009 ◽

Vol 159 (3) ◽

pp. 787-795

Author(s):

V. S. Gerdjikov ◽

N. A. Kostov ◽

T. I. Valchev

Keyword(s):

Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aba861 ◽

2020 ◽

Vol 53 (38) ◽

pp. 385204 ◽

Author(s):

Andrea Sacchetti

Keyword(s):

Boundary Conditions ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Stationary Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations with Mixed Sign Reductions and Nonzero Boundary Conditions

Journal of Nonlinear Mathematical Physics ◽

10.1080/14029251.2020.1683996 ◽

2019 ◽

Vol 27 (1) ◽

pp. 130-161 ◽

Author(s):

Alyssa K. Ortiz ◽

Barbara Prinari

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonlinear Schrodinger Equations ◽

Nonzero Boundary ◽

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Stability Analysis for Nonlinear Schrödinger Equations with Nonlinear Absorbing Boundary Conditions

Journal of Computational Mathematics ◽

10.4208/jcm.1608-m4507 ◽

2017 ◽

Vol 35 (1) ◽

pp. 1-18 ◽

Author(s):

Jiwei Zhang ◽

Zhenli Xu ◽

Xiaonan Wu ◽

Desheng Wang

Keyword(s):

Stability Analysis ◽

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Absorbing Boundary ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations

Physical Review E ◽

10.1103/physreve.78.026709 ◽

2008 ◽

Vol 78 (2) ◽

Author(s):

Jiwei Zhang ◽

Zhenli Xu ◽

Xiaonan Wu

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Unified Approach ◽

Absorbing Boundary ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2012.00572.x ◽

2012 ◽

Vol 131 (1) ◽

pp. 1-40 ◽

Author(s):

F. Demontis ◽

B. Prinari ◽

C. van der Mee ◽

F. Vitale

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonlinear Schrodinger Equations ◽

Nonzero Boundary

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