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

Mark J. Ablowitz; Xu-Dan Luo; Ziad H. Musslimani

doi:10.1063/1.5018294

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 ◽

Cited By ~ 55

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 integrable nonlocal nonlinear Schrödinger equation

Nonlinearity ◽

10.1088/0951-7715/29/3/915 ◽

2016 ◽

Vol 29 (3) ◽

pp. 915-946 ◽

Cited By ~ 196

Author(s):

Mark J Ablowitz ◽

Ziad H Musslimani

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonlocal Nonlinear Schrödinger Equation ◽

Nonlocal Nonlinear

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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 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 ◽

Cited By ~ 3

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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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 ◽

Cited By ~ 12

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 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 ◽

Cited By ~ 39

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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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 ◽

Cited By ~ 6

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 derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Physical Review E ◽

10.1103/physreve.69.066604 ◽

2004 ◽

Vol 69 (6) ◽

Cited By ~ 48

Author(s):

Xiang-Jun Chen ◽

Wa Kun Lam

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons

Physics Letters A ◽

10.1016/j.physleta.2019.125906 ◽

2019 ◽

Vol 383 (29) ◽

pp. 125906 ◽

Cited By ~ 1

Author(s):

Shuyan Chen ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform

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The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions

Journal of Mathematical Physics ◽

10.1063/1.4898768 ◽

2014 ◽

Vol 55 (10) ◽

pp. 101505 ◽

Cited By ~ 23

Author(s):

F. Demontis ◽

B. Prinari ◽

C. van der Mee ◽

F. Vitale

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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