Bifurcations of Nonconstant Solutions of the Ginzburg-Landau Equation

Local And Global Bifurcations

We study local and global bifurcations of nonconstant solutions of the Ginzburg-Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.

A remark on global bifurcations of solutions of Ginzburg–Landau equation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.04.006 ◽

2011 ◽

Cited By ~ 1

Author(s):

Norimichi Hirano ◽

Sławomir Rybicki

Keyword(s):

Landau Equation ◽

Global Bifurcations ◽

Ginzburg Landau ◽

Study of the Instability of Wave Packets in Fluidized-Bed Furnaces within the Framework of Ginzburg–Landau Equation

Heat Transfer Research ◽

10.1615/heattransres.v34.i1-2.140 ◽

2003 ◽

Vol 34 (1-2) ◽

pp. 7

Author(s):

I. V. Elyukhina ◽

E. V. Toropov ◽

G. F. Kuznetsov

Keyword(s):

Fluidized Bed ◽

Landau Equation ◽

Wave Packets ◽

Ginzburg Landau ◽

Blowup for a complex Ginzburg–Landau equation focusing on the parabolicity

Asymptotic Analysis for Nonlinear Dispersive and Wave Equations ◽

10.2969/aspm/08110375 ◽

2019 ◽

Author(s):

Takuya Tomidokoro ◽

Tomomi Yokota

Keyword(s):

Landau Equation ◽

Ginzburg Landau ◽

Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

Journal of Mathematical Physics ◽

10.1063/5.0028065 ◽

2021 ◽

Vol 62 (4) ◽

pp. 041509

Author(s):

Juncheng Wei ◽

Yuanze Wu

Keyword(s):

Landau Equation ◽

Ginzburg Landau ◽

Vortex Solutions

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09862-x ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Qifeng Zhang ◽

Jan S. Hesthaven ◽

Zhi-zhong Sun ◽

Yunzhu Ren

Keyword(s):

Error Estimate ◽

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Pointwise Error

Kink wave, dark and bright soliton solutions for complex Ginzburg–Landau equation using Lie symmetry method

Optik ◽

10.1016/j.ijleo.2021.167048 ◽

2021 ◽

pp. 167048

Author(s):

H. Elzehri ◽

A.H. Abdel Kader ◽

M.S. Abdel Latif

Keyword(s):

Landau Equation ◽

Soliton Solutions ◽

Lie Symmetry ◽

Bright Soliton ◽

Ginzburg Landau ◽

Lie Symmetry Method ◽

Kink Wave ◽

Symmetry Method

Spiral Solutions of the Two-Dimensional Complex Ginzburg–Landau Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/35/2/159 ◽

2001 ◽

Vol 35 (2) ◽

pp. 159-161

Author(s):

Liu Shi-Da ◽

Liu Shi-Kuo ◽

Fu Zun-Tao ◽

Zhao Qiang

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

New optical solitons for complex Ginzburg–Landau equation with beta derivatives via two integration algorithms

Indian Journal of Physics ◽

10.1007/s12648-021-02168-0 ◽

2021 ◽

Author(s):

L. Ouahid ◽

M. A. Abdou ◽

S. Owyed ◽

M. Inc ◽

A. M. Abdel-Baset ◽

...

Keyword(s):

Landau Equation ◽

Optical Solitons ◽

Ginzburg Landau ◽

Integration Algorithms

Response solution to complex Ginzburg–Landau equation with quasi-periodic forcing of Liouvillean frequency

Boundary Value Problems ◽

10.1186/s13661-020-01367-8 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Shimin Wang ◽

Jie Liu

Keyword(s):

Landau Equation ◽

Periodic Forcing ◽

Ginzburg Landau ◽

Liouvillean Frequency

HOC-ADI schemes for two-dimensional Ginzburg–Landau equation in superconductivity

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.031 ◽

2021 ◽

Author(s):

Linghua Kong ◽

Yiyang Luo ◽

Lan Wang ◽

Meng Chen ◽

Zhi Zhao

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Adi Schemes