Modulation instability in higher-order nonlinear Schrödinger equations

Amdad Chowdury; Adrian Ankiewicz; Nail Akhmediev; Wonkeun Chang

doi:10.1063/1.5053941

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 ◽

Cited By ~ 5

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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Vector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibers

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4981907 ◽

2017 ◽

Vol 27 (4) ◽

pp. 043114 ◽

Cited By ~ 32

Author(s):

Wen-Rong Sun ◽

De-Yin Liu ◽

Xi-Yang Xie

Keyword(s):

Optical Fibers ◽

Modulation Instability ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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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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 ◽

Cited By ~ 12

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 ◽

Cited By ~ 6

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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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 ◽

Cited By ~ 26

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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Soliton solutions to coupled higher‐order nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.529732 ◽

1992 ◽

Vol 33 (3) ◽

pp. 1208-1215 ◽

Cited By ~ 94

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 ◽

Cited By ~ 10

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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Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis

Journal of Physics A General Physics ◽

10.1088/0305-4470/28/24/025 ◽

1995 ◽

Vol 28 (24) ◽

pp. 7299-7314 ◽

Cited By ~ 33

Author(s):

R Radhakrishnan ◽

M Lakshmanan ◽

M Daniel

Keyword(s):

Structure Analysis ◽

Optical Solitons ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Singularity Structure ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications

Optical and Quantum Electronics ◽

10.1007/s11082-017-1260-8 ◽

2017 ◽

Vol 50 (11) ◽

Cited By ~ 9

Author(s):

M. Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Soliton Solutions ◽

Higher Order ◽

Optical Soliton ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Modulation Instability of Copropagating Optical Beams in Fractional Coupled Nonlinear Schrödinger Equations

Journal of the Physical Society of Japan ◽

10.7566/jpsj.87.064401 ◽

2018 ◽

Vol 87 (6) ◽

pp. 064401 ◽

Cited By ~ 3

Author(s):

Jinggui Zhang

Keyword(s):

Modulation Instability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Optical Beams ◽

Coupled Nonlinear Schrodinger Equations

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