Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrödinger equation with mixed boundary conditions

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2021.133150 ◽

2022 ◽

pp. 133150

Author(s):

Weifang Weng ◽

Guoqiang Zhang ◽

Minghe Zhang ◽

Zijian Zhou ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Asymptotic Analysis ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Mixed Boundary ◽

Soliton Solutions ◽

Mixed Boundary Conditions ◽

Nonlinear Schrodinger Equation ◽

Rational Vector

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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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Bounded multi-soliton solutions and its asymptotic analysis for the reversal-time nonlocal nonlinear Schrödinger equation

Communications in Theoretical Physics ◽

10.1088/1572-9494/ac08fb ◽

2021 ◽

Author(s):

Wei-Jing Tang ◽

Zhang-nan Hu ◽

Liming Ling

Keyword(s):

Schrödinger Equation ◽

Asymptotic Analysis ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Reversal Time ◽

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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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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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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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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Computational Soliton solutions for the variable coefficient nonlinear Schrödinger equation by collective variable method

Optical and Quantum Electronics ◽

10.1007/s11082-021-03052-1 ◽

2021 ◽

Vol 53 (7) ◽

Author(s):

Nauman Raza ◽

Zara Hassan ◽

Aly Seadawy

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Collective Variable ◽

Variable Method ◽

Nonlinear Schrödinger

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Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

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Local absorbing boundary conditions for two‐dimensional nonlinear Schrödinger equation with wave operator on unbounded domain

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7703 ◽

2021 ◽

Author(s):

Hongwei Li

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Unbounded Domain ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Two Dimensional ◽

Absorbing Boundary

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