Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation

DOI10.1016/J.AMC.2012.06.003zbMath1290.35258OpenAlexW1980573226MaRDI QIDQ388610

Amit Goyal, Thokala Soloman Raju, C. Nagaraja Kumar, W. Alka

Publication date: 2 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.003

zbMATH Keywords

fractional transformLorentzian-type solutionsmodified complex Ginzburg-Landau equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51) Ginzburg-Landau equations (35Q56) Trigonometric solutions to PDEs (35C09)

Related Items (5)

Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity ⋮ Bifurcations and exact solutions of ac-driven complex Ginzburg-Landau equation ⋮ A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation ⋮ Chirped Lambert W-kink solitons of the complex cubic-quintic Ginzburg-Landau equation with intrapulse Raman scattering ⋮ Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations

Cites Work

• Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects
• Forcing oscillatory media: phase kinks vs. synchronization.
• Controlling turbulence in the complex Ginzburg-Landau equation
• The world of the complex Ginzburg-Landau equation
• On solitary wave solutions of ac-driven complex Ginzburg–Landau equation
• A theory for one-dimensional asynchronous chemical waves
• On exact solitary wave solutions of the nonlinear Schrödinger equation with a source
• Pattern formation outside of equilibrium

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