Numerical Studies Based on Higher-Order Accuracy Lattice Boltzmann Model for the Complex Ginzburg-Landau Equation

Journal of Scientific Computing ◽

10.1007/s10915-011-9565-4 ◽

2011 ◽

Vol 52 (3) ◽

pp. 656-674 ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan

Keyword(s):

Lattice Boltzmann ◽

Landau Equation ◽

Higher Order ◽

Lattice Boltzmann Model ◽

Order Accuracy ◽

Ginzburg Landau ◽

Numerical Studies ◽

Ginzburg Landau Equation ◽

Boltzmann Model

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Three-Dimensional Lattice Boltzmann Model for the Complex Ginzburg–Landau Equation

Journal of Scientific Computing ◽

10.1007/s10915-013-9811-z ◽

2013 ◽

Vol 60 (3) ◽

pp. 660-683 ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan

Keyword(s):

Lattice Boltzmann ◽

Landau Equation ◽

Three Dimensional ◽

Lattice Boltzmann Model ◽

Ginzburg Landau ◽

Dimensional Lattice ◽

Ginzburg Landau Equation ◽

Boltzmann Model

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Spatiotemporal lattice Boltzmann model for the three-dimensional cubic–quintic complex Ginzburg–Landau equation

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2015.08.004 ◽

2015 ◽

Vol 440 ◽

pp. 19-26 ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan

Keyword(s):

Lattice Boltzmann ◽

Landau Equation ◽

Three Dimensional ◽

Lattice Boltzmann Model ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Boltzmann Model

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Lattice Boltzmann model for the complex Ginzburg-Landau equation

Physical Review E ◽

10.1103/physreve.81.066705 ◽

2010 ◽

Vol 81 (6) ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan

Keyword(s):

Lattice Boltzmann ◽

Landau Equation ◽

Lattice Boltzmann Model ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Boltzmann Model

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Lattice Boltzmann model for complex Ginzburg–Landau equation in curvilinear coordinates

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.10.002 ◽

2015 ◽

Vol 70 (12) ◽

pp. 2904-2919 ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan

Keyword(s):

Lattice Boltzmann ◽

Landau Equation ◽

Lattice Boltzmann Model ◽

Curvilinear Coordinates ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Boltzmann Model

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A higher-order accuracy lattice Boltzmann model for the wave equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1981 ◽

2009 ◽

Vol 61 (6) ◽

pp. 683-697 ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan ◽

Yinfeng Dong

Keyword(s):

Wave Equation ◽

Lattice Boltzmann ◽

Higher Order ◽

Lattice Boltzmann Model ◽

Order Accuracy ◽

Boltzmann Model

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A Lattice Boltzmann Model for the Reaction-Diffusion Equations with Higher-Order Accuracy

Journal of Scientific Computing ◽

10.1007/s10915-011-9530-2 ◽

2011 ◽

Vol 52 (1) ◽

pp. 1-16 ◽

Author(s):

Jianying Zhang ◽

Guangwu Yan

Keyword(s):

Lattice Boltzmann ◽

Reaction Diffusion ◽

Higher Order ◽

Reaction Diffusion Equations ◽

Lattice Boltzmann Model ◽

Diffusion Equations ◽

Order Accuracy ◽

Boltzmann Model

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Ultrashort Optical Solitons in the Cubic–Quintic Complex Ginzburg–Landau Equation with Higher-Order Terms

Journal of the Physical Society of Japan ◽

10.1143/jpsj.77.074401 ◽

2008 ◽

Vol 77 (7) ◽

pp. 074401 ◽

Author(s):

Serge I. Fewo ◽

Claude M. Ngabireng ◽

Timoleon C. Kofane

Keyword(s):

Landau Equation ◽

Optical Solitons ◽

Higher Order ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Higher Order Terms

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Periodic Solutions of the Complex Cubic-Quintic Ginzburg–Landau Equation in the Presence of Higher-Order Effects

Physics of Wave Phenomena ◽

10.3103/s1541308x20040111 ◽

2020 ◽

Vol 28 (4) ◽

pp. 338-347

Author(s):

I. M. Uzunov ◽

T. N. Arabadzhiev

Keyword(s):

Periodic Solutions ◽

Landau Equation ◽

Higher Order ◽

Order Effects ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Higher Order Effects

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Transitions of stationary to pulsating solutions in the complex cubic-quintic Ginzburg-Landau equation under the influence of nonlinear gain and higher-order effects

Physical Review E ◽

10.1103/physreve.97.052215 ◽

2018 ◽

Vol 97 (5) ◽

Author(s):

Ivan M. Uzunov ◽

Zhivko D. Georgiev ◽

Todor N. Arabadzhiev

Keyword(s):

Landau Equation ◽

Higher Order ◽

Order Effects ◽

Nonlinear Gain ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Higher Order Effects

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Dynamical playground of a higher-order cubic Ginzburg-Landau equation: From orbital connections and limit cycles to invariant tori and the onset of chaos

Physical Review E ◽

10.1103/physreve.94.012210 ◽

2016 ◽

Vol 94 (1) ◽

Author(s):

V. Achilleos ◽

A. R. Bishop ◽

S. Diamantidis ◽

D. J. Frantzeskakis ◽

T. P. Horikis ◽

...

Keyword(s):

Limit Cycles ◽

Landau Equation ◽

Invariant Tori ◽

Higher Order ◽

Ginzburg Landau ◽

Onset Of Chaos ◽

Ginzburg Landau Equation

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