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

Mapping Intimacies ◽

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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Split-step Cubic B-splines Collocation Methods for Nonlinear Schrödinger Equations with Periodic Boundary Conditions

DEStech Transactions on Engineering and Technology Research ◽

10.12783/dtetr/amsm2017/14840 ◽

2017 ◽

Author(s):

Shan-shan WANG ◽

Lu-ming ZHANG

Keyword(s):

Boundary Conditions ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Collocation Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

B Splines ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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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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 ◽

Cited By ~ 2

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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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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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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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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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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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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