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

Alyssa K. Ortiz; Barbara Prinari

doi:10.1080/14029251.2020.1683996

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 ◽

Cited By ~ 1

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 ◽

Square Matrix

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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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Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2017.12.007 ◽

2018 ◽

Vol 368 ◽

pp. 22-49 ◽

Cited By ~ 15

Author(s):

Barbara Prinari ◽

Francesco Demontis ◽

Sitai Li ◽

Theodoros P. Horikis

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonlinear Schrodinger Equations ◽

Square Matrix

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Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations

Studies in Applied Mathematics ◽

10.1111/sapm.12223 ◽

2018 ◽

Vol 141 (3) ◽

pp. 308-352 ◽

Cited By ~ 2

Author(s):

Barbara Prinari ◽

Alyssa K Ortiz ◽

Cornelis van der Mee ◽

Marek Grabowski

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonlinear Schrodinger Equations ◽

Square Matrix

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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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Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions

Journal of Mathematical Physics ◽

10.1063/1.4868483 ◽

2014 ◽

Vol 55 (3) ◽

pp. 031506 ◽

Cited By ~ 84

Author(s):

Gino Biondini ◽

Gregor Kovačič

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonzero Boundary

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Inverse Scattering Transform for the Multi-Component Nonlinear Schrödinger Equation with Nonzero Boundary Conditions

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2010.00504.x ◽

2011 ◽

Vol 126 (3) ◽

pp. 245-302 ◽

Cited By ~ 27

Author(s):

Barbara Prinari ◽

Gino Biondini ◽

A. David Trubatch

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonzero Boundary

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Inverse scattering transform for the Gerdjikov–Ivanov equation with nonzero boundary conditions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-01371-z ◽

2020 ◽

Vol 71 (5) ◽

Author(s):

Zechuan Zhang ◽

Engui Fan

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

Nonzero Boundary

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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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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 ◽

Cited By ~ 2

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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