Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates

Journal of Nonlinear Science ◽

10.1007/s00332-021-09735-z ◽

2021 ◽

Vol 31 (5) ◽

Author(s):

Guoqiang Zhang ◽

Liming Ling ◽

Zhenya Yan

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Asymptotic Estimates ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Nonzero Boundary

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The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2012.00572.x ◽

2012 ◽

Vol 131 (1) ◽

pp. 1-40 ◽

Author(s):

F. Demontis ◽

B. Prinari ◽

C. van der Mee ◽

F. Vitale

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Nonlinear Schrodinger Equations ◽

Nonzero Boundary

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Nondegenerate solitons for coupled higher-order nonlinear Schrödinger equations in optical fibers

Physica Scripta ◽

10.1088/1402-4896/ac0869 ◽

2021 ◽

Author(s):

YueJin Cai ◽

Jian wen Wu ◽

LangTao Hu ◽

Ji Lin

Keyword(s):

Optical Fibers ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Modulation instability in higher-order nonlinear Schrödinger equations

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5053941 ◽

2018 ◽

Vol 28 (12) ◽

pp. 123116 ◽

Author(s):

Amdad Chowdury ◽

Adrian Ankiewicz ◽

Nail Akhmediev ◽

Wonkeun Chang

Keyword(s):

Modulation Instability ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Dark solitons in N-coupled higher order nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2006.07.014 ◽

2008 ◽

Vol 13 (7) ◽

pp. 1318-1328 ◽

Author(s):

P. Seenuvasakumaran ◽

A. Mahalingam ◽

K. Porsezian

Keyword(s):

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Nonlinear Schrodinger Equations

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Higher order exponential time differencing scheme for system of coupled nonlinear Schrödinger equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.11.089 ◽

2014 ◽

Vol 228 ◽

pp. 271-291 ◽

Author(s):

Harish P. Bhatt ◽

Abdul Q.M. Khaliq

Keyword(s):

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Split-step modified cubic B-splines collocation methods for nonlinear Schrödinger equations with Dirichlet boundary conditions

10.1063/1.5114567 ◽

2019 ◽

Author(s):

Shanshan Wang

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Nonlinear Schrödinger Equations ◽

Dirichlet Boundary Conditions ◽

Collocation Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

B Splines ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Integrability and soliton-like solutions for the coupled higher-order nonlinear Schrödinger equations with variable coefficients in inhomogeneous optical fibers

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.09.003 ◽

2014 ◽

Vol 19 (6) ◽

pp. 1783-1791 ◽

Author(s):

Yu-Feng Wang ◽

Bo Tian ◽

Min Li ◽

Pan Wang ◽

Ming Wang

Keyword(s):

Optical Fibers ◽

Variable Coefficients ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Multicomponent nonlinear Schrödinger equations with constant boundary conditions

Theoretical and Mathematical Physics ◽

10.1007/s11232-009-0067-6 ◽

2009 ◽

Vol 159 (3) ◽

pp. 787-795

Author(s):

V. S. Gerdjikov ◽

N. A. Kostov ◽

T. I. Valchev

Keyword(s):

Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Soliton solutions to coupled higher‐order nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.529732 ◽

1992 ◽

Vol 33 (3) ◽

pp. 1208-1215 ◽

Author(s):

R. S. Tasgal ◽

M. J. Potasek

Keyword(s):

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Dark single- and double-hump vector solitons of the coupled higher-order nonlinear Schrödinger equations in the birefringent or two-mode fibers

Optics Communications ◽

10.1016/j.optcom.2014.09.007 ◽

2015 ◽

Vol 335 ◽

pp. 237-244 ◽

Author(s):

Wen-Rong Sun ◽

Bo Tian ◽

Yu-Feng Wang ◽

Hui-Ling Zhen

Keyword(s):

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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