Inverse Scattering Transform and Soliton Classification of Higher-Order Nonlinear Schrödinger-Maxwell-Bloch Equations

Theoretical and Mathematical Physics ◽

10.1134/s004057792006001x ◽

2020 ◽

Vol 203 (3) ◽

pp. 709-725

Author(s):

Zhi-Qiang Li ◽

Shou-Fu Tian ◽

Wei-Qi Peng ◽

Jin-Jie Yang

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Higher Order ◽

Bloch Equations ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Maxwell Bloch Equations

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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 ◽

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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Inverse scattering transform for 3-level coupled Maxwell–Bloch equations with inhomogeneous broadening

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2014.04.003 ◽

2014 ◽

Vol 278-279 ◽

pp. 58-78 ◽

Author(s):

S. Chakravarty ◽

B. Prinari ◽

M.J. Ablowitz

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Inhomogeneous Broadening ◽

Bloch Equations ◽

Scattering Transform ◽

Maxwell Bloch Equations

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Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107741 ◽

2021 ◽

pp. 107741

Author(s):

Nan Liu ◽

Zuxing Xuan ◽

Jinyi Sun

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation with a One-Sided Non-Zero Boundary Condition

Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations - Contemporary Mathematics ◽

10.1090/conm/651/13035 ◽

2015 ◽

pp. 157-194 ◽

Author(s):

B. Prinari ◽

F. Vitale

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

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 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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Quantum inverse scattering transform for the nonlinear Schrödinger model of particles with attractive coupling

Nuclear Physics B ◽

10.1016/0550-3213(86)90589-4 ◽

1986 ◽

Vol 275 (1) ◽

pp. 77-92 ◽

Author(s):

Fu-Cho Pu ◽

Bao-Heng Zhao

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Quantum Inverse ◽

Nonlinear Schrödinger ◽

Scattering Transform

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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 ◽

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 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 nonlinear Schrödinger system on a zigzag-runged ladder lattice

Journal of Mathematical Physics ◽

10.1063/1.3481565 ◽

2010 ◽

Vol 51 (10) ◽

pp. 103518 ◽

Author(s):

Oleksiy O. Vakhnenko

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Scattering Transform ◽

Schrödinger System

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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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