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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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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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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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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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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General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

Nonlinearity ◽

10.1088/1361-6544/aae031 ◽

2018 ◽

Vol 31 (12) ◽

pp. 5385-5409 ◽

Author(s):

Bao-Feng Feng ◽

Xu-Dan Luo ◽

Mark J Ablowitz ◽

Ziad H Musslimani

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonzero Boundary ◽

Nonlocal Nonlinear Schrödinger Equation ◽

Nonlocal Nonlinear

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The Three-Component Defocusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions

Communications in Mathematical Physics ◽

10.1007/s00220-016-2626-7 ◽

2016 ◽

Vol 348 (2) ◽

pp. 475-533 ◽

Author(s):

Gino Biondini ◽

Daniel K. Kraus ◽

Barbara Prinari

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonzero Boundary

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Multicomponent nonlinear Schrödinger equation in the case of nonzero boundary conditions

Journal of Soviet Mathematics ◽

10.1007/bf02105343 ◽

1985 ◽

Vol 30 (4) ◽

pp. 2261-2269 ◽

Author(s):

V. S. Gerdzhikov ◽

P. P. Kulish

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonzero Boundary ◽

Multicomponent Nonlinear Schrödinger Equation

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Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

AIP Advances ◽

10.1063/5.0038671 ◽

2021 ◽

Vol 11 (2) ◽

pp. 025130

Author(s):

Mostafa M. A. Khater ◽

Sadia Anwar ◽

Kalim U. Tariq ◽

Mohamed S. Mohamed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger

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