Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions

SIAM Journal on Mathematical Analysis ◽

10.1137/130943479 ◽

2015 ◽

Vol 47 (1) ◽

pp. 706-757 ◽

Author(s):

Gino Biondini ◽

Daniel Kraus

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

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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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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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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Inverse Scattering Transform for the Focusing Ablowitz-Ladik System with Nonzero Boundary Conditions

Studies in Applied Mathematics ◽

10.1111/sapm.12103 ◽

2015 ◽

Vol 137 (1) ◽

pp. 28-52 ◽

Author(s):

Barbara Prinari ◽

Federica Vitale

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

Nonzero Boundary

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

Journal of Mathematical Physics ◽

10.1063/1.5018294 ◽

2018 ◽

Vol 59 (1) ◽

pp. 011501 ◽

Author(s):

Mark J. Ablowitz ◽

Xu-Dan Luo ◽

Ziad H. Musslimani

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Scattering Transform ◽

Nonzero Boundary ◽

Nonlocal Nonlinear Schrödinger Equation ◽

Nonlocal Nonlinear

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Inverse scattering transform for the complex reverse space-time nonlocal modified Korteweg-de Vries equation with nonzero boundary conditions and constant phase shift

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5090426 ◽

2019 ◽

Vol 29 (7) ◽

pp. 073118 ◽

Author(s):

Xu-Dan Luo

Keyword(s):

Phase Shift ◽

Boundary Conditions ◽

Inverse Scattering ◽

Vries Equation ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

De Vries ◽

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 ◽

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 ◽

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 coupled modified Korteweg-de Vries equation with nonzero boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125567 ◽

2021 ◽

pp. 125567

Author(s):

Yu Xiao ◽

Engui Fan ◽

Pan Liu

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Vries Equation ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

De Vries ◽

Nonzero Boundary

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Inverse scattering transform of an extended nonlinear Schrödinger equation with nonzero boundary conditions and its multisoliton solutions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.123968 ◽

2020 ◽

Vol 487 (1) ◽

pp. 123968 ◽

Author(s):

Xiu-Bin Wang ◽

Bo Han

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Scattering Transform ◽

Nonzero Boundary ◽

Multisoliton Solutions

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