Soliton Solutions of the Discrete Nonlinear Schrödinger Equation with Nonvanishing Boundary Conditions

Communications in Theoretical Physics ◽

10.1088/0253-6102/30/3/341 ◽

1998 ◽

Vol 30 (3) ◽

pp. 341-342

Author(s):

Zhang Wen ◽

Xiao Yi

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions

Theoretical and Mathematical Physics ◽

10.1134/s0040577921110052 ◽

2021 ◽

Vol 209 (2) ◽

pp. 1552-1578

Author(s):

DeQin Qiu ◽

Cong Lv

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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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Discrete soliton solutions for a generalized discrete nonlinear Schrödinger equation with variable coefficients via discrete N -fold Darboux transformation

Applied Mathematics Letters ◽

10.1016/j.aml.2017.11.012 ◽

2018 ◽

Vol 78 ◽

pp. 126-132 ◽

Author(s):

Jiang-Yan Song ◽

Hui-Qin Hao ◽

Xiao-Mei Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Darboux Transformation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Discrete Soliton ◽

Nonlinear Schrödinger

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Exact discrete soliton solutions of quintic discrete nonlinear Schrödinger equation

Chinese Physics ◽

10.1088/1009-1963/14/6/002 ◽

2005 ◽

Vol 14 (6) ◽

pp. 1069-1074 ◽

Author(s):

Li Hua-Mei ◽

Wu Feng-Min

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Discrete Soliton ◽

Nonlinear Schrödinger

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N-soliton solutions and perturbation theory for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/23/008 ◽

2007 ◽

Vol 40 (23) ◽

pp. 6119-6132 ◽

Author(s):

V M Lashkin

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.75.054002 ◽

2006 ◽

Vol 75 (5) ◽

pp. 054002 ◽

Author(s):

Ken-ichi Maruno ◽

Yasuhiro Ohta

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Casorati Determinant

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Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-017-3333-4 ◽

2017 ◽

Vol 88 (3) ◽

pp. 1615-1622 ◽

Author(s):

Hui-Qin Hao ◽

Rui Guo ◽

Jian-Wen Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions

Inverse Problems ◽

10.1088/0266-5611/8/6/007 ◽

1992 ◽

Vol 8 (6) ◽

pp. 889-909 ◽

Author(s):

V E Vekslerchik ◽

V V Konotop

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions

Journal of Mathematical Physics ◽

10.1063/1.4926439 ◽

2015 ◽

Vol 56 (7) ◽

pp. 071505 ◽

Author(s):

Barbara Prinari ◽

Federica Vitale ◽

Gino Biondini

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Nonzero Boundary

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General soliton solutions to a $$\varvec{(2+1)}$$ ( 2 + 1 ) -dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

Nonlinear Dynamics ◽

10.1007/s11071-018-4221-2 ◽

2018 ◽

Vol 93 (2) ◽

pp. 721-731 ◽

Author(s):

Wei Liu ◽

Xiliang Li

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonzero Boundary ◽

Nonlocal Nonlinear Schrödinger Equation ◽

Nonlocal Nonlinear

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