Inverse scattering transform for the Yajima-Oikawa equations with nonvanishing boundary conditions

Physical Review A ◽

10.1103/physreva.80.063616 ◽

2009 ◽

Vol 80 (6) ◽

Author(s):

A. A. Zabolotskii

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform

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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 for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2016.04.003 ◽

2016 ◽

Vol 333 ◽

pp. 117-136 ◽

Author(s):

Gino Biondini ◽

Emily Fagerstrom ◽

Barbara Prinari

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform

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Inverse Scattering Transform in Squared Spectral Parameter for DNLS Equation under Vanishing Boundary Conditions

Chinese Physics Letters ◽

10.1088/0256-307x/25/7/020 ◽

2008 ◽

Vol 25 (7) ◽

pp. 2403-2406 ◽

Author(s):

He Jin-Chun ◽

Chen Zong-Yun ◽

Yan Tian ◽

Huang Nian-Ning

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Spectral Parameter ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

Dnls Equation ◽

Squared Spectral Parameter

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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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Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions

Inverse Problems ◽

10.1088/0266-5611/23/4/021 ◽

2007 ◽

Vol 23 (4) ◽

pp. 1711-1758 ◽

Author(s):

Mark J Ablowitz ◽

Gino Biondini ◽

Barbara Prinari

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform

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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 Discrete Focusing Nonlinear Schrödinger Equation with Nonvanishing Boundary Conditions

Journal of Nonlinear Mathematical Physics ◽

10.1080/14029251.2015.1023583 ◽

2015 ◽

Vol 22 (2) ◽

pp. 233-264 ◽

Author(s):

Cornelis van der Mee

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform

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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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