Bifurcations and exact solutions of ac-driven complex Ginzburg-Landau equation

DOI10.1016/j.amc.2013.05.067zbMath1329.35300OpenAlexW2031990029MaRDI QIDQ905268

Ji-Bin Li, Jian-ping Shi

Publication date: 19 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.067

zbMATH Keywords

dynamicsexact solutionbifurcationcubic systemac-driven complex Ginzburg-Landau equation

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Solutions to PDEs in closed form (35C05) Ginzburg-Landau equations (35Q56)

Related Items (6)

Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity ⋮ New exact traveling wave solutions of the time fractional complex Ginzburg-Landau equation via the conformable fractional derivative ⋮ Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach ⋮ Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence ⋮ Analysis of Nonlinear Vibration and Instability of Electrostatically Actuated Fluid-Conveying Micro Beams ⋮ Chaotic motion and control of the driven-damped double sine-Gordon equation

Cites Work

• Unnamed Item
• Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A nonconvex dissipative system and its applications. II
• On solitary wave solutions of ac-driven complex Ginzburg–Landau equation

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