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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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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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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Absorbing boundary conditions for nonlinear Schrödinger equations

Physical Review E ◽

10.1103/physreve.74.037704 ◽

2006 ◽

Vol 74 (3) ◽

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 General Nonlinear Schrödinger Equations

SIAM Journal on Scientific Computing ◽

10.1137/090780535 ◽

2011 ◽

Vol 33 (2) ◽

pp. 1008-1033 ◽

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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Absorbing Boundary Conditions for One-dimensional Nonlinear Schrödinger Equations

Numerische Mathematik ◽

10.1007/s00211-006-0012-7 ◽

2006 ◽

Vol 104 (1) ◽

pp. 103-127 ◽

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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Standing wave and global existence to nonlocal nonlinear Schrödinger equations: the two-dimensional case

Nonlinearity ◽

10.1088/0951-7715/29/7/2050 ◽

2016 ◽

Vol 29 (7) ◽

pp. 2050-2081 ◽

Author(s):

Zaihui Gan

Keyword(s):

Global Existence ◽

Standing Wave ◽

Nonlinear Schrödinger Equations ◽

Dimensional Case ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Nonlocal Nonlinear

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Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626099 ◽

2012 ◽

Vol 37 (4) ◽

pp. 732-752 ◽

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Two-Dimensional Nonlinear Schrodinger Equations and Their Properties

10.21236/ada272184 ◽

1993 ◽

Author(s):

D. J. Kaup ◽

Ronald E. Kates

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

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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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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