Coupled nonlinear Schrödinger equations arising in the study of monomode step‐index optical fibers

G. K. Newboult; D. F. Parker; T. R. Faulkner

doi:10.1063/1.528360

Coupled nonlinear Schrödinger equations arising in the study of monomode step‐index optical fibers

Journal of Mathematical Physics ◽

10.1063/1.528360 ◽

1989 ◽

Vol 30 (4) ◽

pp. 930-936 ◽

Cited By ~ 25

Author(s):

G. K. Newboult ◽

D. F. Parker ◽

T. R. Faulkner

Keyword(s):

Optical Fibers ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Step Index ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Dark solitonic interactions for the (3 + 1)-dimensional coupled nonlinear Schrödinger equations in nonlinear optical fibers

Optics & Laser Technology ◽

10.1016/j.optlastec.2018.12.040 ◽

2019 ◽

Vol 113 ◽

pp. 462-466 ◽

Cited By ~ 17

Author(s):

Zhong-Zhou Lan

Keyword(s):

Optical Fibers ◽

Nonlinear Optical ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4961146 ◽

2016 ◽

Vol 26 (8) ◽

pp. 083115 ◽

Cited By ~ 8

Author(s):

Emmanuel Yomba ◽

Gholam-Ali Zakeri

Keyword(s):

Optical Fibers ◽

Rogue Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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BrightN-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/43/24/245205 ◽

2010 ◽

Vol 43 (24) ◽

pp. 245205 ◽

Cited By ~ 32

Author(s):

Tao Xu ◽

Bo Tian

Keyword(s):

Optical Fibers ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger Equations in two core optical fibers

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.121330 ◽

2019 ◽

Vol 529 ◽

pp. 121330 ◽

Cited By ~ 11

Author(s):

Aly R. Seadawy ◽

Nadia Cheemaa

Keyword(s):

Optical Fibers ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Complex Waves

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The application of (2+1)-dimensional coupled nonlinear Schrödinger equations with variable coefficients in optical fibers

Optik ◽

10.1016/j.ijleo.2018.06.048 ◽

2018 ◽

Vol 172 ◽

pp. 953-967 ◽

Cited By ~ 2

Author(s):

Zhiyun Gao ◽

Shuni Song ◽

Jie Duan

Keyword(s):

Optical Fibers ◽

Variable Coefficients ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework

Journal of Mathematical Physics ◽

10.1063/1.1996831 ◽

2005 ◽

Vol 46 (8) ◽

pp. 082701 ◽

Cited By ~ 1

Author(s):

F. E. Laine-Pearson

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Wave Trains ◽

Coupled Nonlinear Schrodinger Equations

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Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2008.09.033 ◽

2009 ◽

Vol 388 (2-3) ◽

pp. 209-217 ◽

Cited By ~ 13

Author(s):

Xiang-Hua Meng ◽

Bo Tian ◽

Tao Xu ◽

Hai-Qiang Zhang ◽

Qian Feng

Keyword(s):

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Similarity reductions for variable-coefficient coupled nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/26/16/025 ◽

1993 ◽

Vol 26 (16) ◽

pp. 4093-4106 ◽

Cited By ~ 17

Author(s):

N Manganaro ◽

D F Parker

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Similarity Reductions

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Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

Nonlinear Dynamics ◽

10.1007/s11071-014-1474-2 ◽

2014 ◽

Vol 78 (1) ◽

pp. 755-770 ◽

Cited By ~ 12

Author(s):

Wen-Jun Liu ◽

Nan Pan ◽

Long-Gang Huang ◽

Ming Lei

Keyword(s):

Symbolic Computation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations

Computer Physics Communications ◽

10.1016/j.cpc.2011.07.009 ◽

2011 ◽

Vol 182 (12) ◽

pp. 2519-2529 ◽

Cited By ~ 33

Author(s):

Mehdi Dehghan ◽

Ameneh Taleei

Keyword(s):

Soliton Solution ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Chebyshev Pseudospectral

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Coupled nonlinear Schrödinger equations arising in the study of monomode step‐index optical fibers

Dark solitonic interactions for the (3 + 1)-dimensional coupled nonlinear Schrödinger equations in nonlinear optical fibers

Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers

BrightN-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers

Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger Equations in two core optical fibers

The application of (2+1)-dimensional coupled nonlinear Schrödinger equations with variable coefficients in optical fibers

Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework

Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Similarity reductions for variable-coefficient coupled nonlinear Schrodinger equations

Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations

Dark solitonic interactions for the (3 + 1)-dimensional coupled nonlinear Schrödinger equations in nonlinear optical fibers