Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients

Si-Liu Xu; Milivoj R. Belić; Wei-Ping Zhong

doi:10.1364/josab.30.000113

Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients

Journal of the Optical Society of America B ◽

10.1364/josab.30.000113 ◽

2012 ◽

Vol 30 (1) ◽

pp. 113 ◽

Cited By ~ 17

Author(s):

Si-Liu Xu ◽

Milivoj R. Belić ◽

Wei-Ping Zhong

Keyword(s):

Solitary Waves ◽

Three Dimensional ◽

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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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)82007-6 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Cited By ~ 71

Author(s):

Jianke Yang

Keyword(s):

Solitary 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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Solitary waves in coupled nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2010.02.024 ◽

2011 ◽

Vol 16 (1) ◽

pp. 158-172 ◽

Cited By ~ 22

Author(s):

Juan Belmonte-Beitia ◽

Víctor M. Pérez-García ◽

Valeriy Brazhnyi

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Spatially Inhomogeneous ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)00035-3 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Cited By ~ 6

Author(s):

Y Jianke

Keyword(s):

Solitary 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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Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.1789 ◽

2015 ◽

Vol 36 (4) ◽

pp. 1789-1811 ◽

Cited By ~ 8

Author(s):

Santosh Bhattarai

Keyword(s):

Solitary 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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Solitons in coupled nonlinear Schrödinger equations with variable coefficients

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.01.017 ◽

2014 ◽

Vol 19 (9) ◽

pp. 3063-3073 ◽

Cited By ~ 12

Author(s):

Lijia Han ◽

Yehui Huang ◽

Hui Liu

Keyword(s):

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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Solitary waves for two and three coupled nonlinear Schrödinger equations

Physical Review E ◽

10.1103/physreve.58.6700 ◽

1998 ◽

Vol 58 (5) ◽

pp. 6700-6707 ◽

Cited By ~ 46

Author(s):

F. T. Hioe

Keyword(s):

Solitary 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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Light bullets in coupled nonlinear Schrödinger equations with variable coefficients and a trapping potential

Optics Express ◽

10.1364/oe.25.009094 ◽

2017 ◽

Vol 25 (8) ◽

pp. 9094 ◽

Cited By ~ 12

Author(s):

Si-Liu Xu ◽

Guo-Peng Zhao ◽

Milivoj R. Belić ◽

Jun-Rong He ◽

Li Xue

Keyword(s):

Variable Coefficients ◽

Nonlinear Schrödinger Equations ◽

Trapping Potential ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Light Bullets ◽

Coupled Nonlinear Schrodinger Equations

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Erratum: Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations [Phys. Rev. E60, 1019 (1999)]

Physical Review E ◽

10.1103/physreve.60.6242.2 ◽

1999 ◽

Vol 60 (5) ◽

pp. 6242-6242

Author(s):

Dmitry V. Skryabin ◽

William J. Firth

Keyword(s):

Solitary Waves ◽

Modulational Instability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd-$\mathcal{PT}$ symmetry

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/abdca8 ◽

2021 ◽

Author(s):

Efstathios Georgios Charalampidis ◽

Fred Cooper ◽

John F. Dawson ◽

Avinash Khare ◽

Avadh B Saxena

Keyword(s):

Solitary Waves ◽

Pt Symmetry ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Periodic Potentials ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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New exact solution and simulation for the coupled nonlinear Schrödinger equations with variable coefficients

Authorea ◽

10.22541/au.158239777.75732008 ◽

2020 ◽

Author(s):

yuting QIU ◽

ping Gao

Keyword(s):

Exact Solution ◽

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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