Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations

Xavier Antoine; Christophe Besse; Pauline Klein

doi:10.1137/090780535

Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations

SIAM Journal on Scientific Computing ◽

10.1137/090780535 ◽

2011 ◽

Vol 33 (2) ◽

pp. 1008-1033 ◽

Cited By ~ 29

Author(s):

Xavier Antoine ◽

Christophe Besse ◽

Pauline Klein

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Absorbing Boundary ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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 ◽

Cited By ~ 2

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) ◽

Cited By ~ 32

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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Absorbing boundary conditions for nonlinear Schrödinger equations

Physical Review E ◽

10.1103/physreve.74.037704 ◽

2006 ◽

Vol 74 (3) ◽

Cited By ~ 26

Author(s):

Zhenli Xu ◽

Houde Han

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Absorbing Boundary ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Absorbing Boundary Conditions for One-dimensional Nonlinear Schrödinger Equations

Numerische Mathematik ◽

10.1007/s00211-006-0012-7 ◽

2006 ◽

Vol 104 (1) ◽

pp. 103-127 ◽

Cited By ~ 25

Author(s):

Jérémie Szeftel

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Absorbing Boundary ◽

One Dimensional ◽

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) ◽

Cited By ~ 30

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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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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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 ◽

Cited By ~ 1

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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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 ◽

Cited By ~ 38

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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Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates

Journal of Nonlinear Science ◽

10.1007/s00332-021-09735-z ◽

2021 ◽

Vol 31 (5) ◽

Author(s):

Guoqiang Zhang ◽

Liming Ling ◽

Zhenya Yan

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Asymptotic Estimates ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Nonzero Boundary

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