Conservation laws of the complex Ginzburg-Landau equation

DOI10.1016/j.physleta.2023.128994zbMath1530.35292OpenAlexW4383105654MaRDI QIDQ6166588

Nikolay A. Kudryashov

Publication date: 3 August 2023

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2023.128994

zbMATH Keywords

conservation lawcomplex Ginzburg-Landau equationoptical solitonconservative quantity

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Traveling wave solutions (35C07) Soliton solutions (35C08) Ginzburg-Landau equations (35Q56)

Related Items (2)

Propagation of three-dimensional optical solitons in fractional complex Ginzburg-Landau model ⋮ Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity

Cites Work

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• Soliton dynamics in a fractional complex Ginzburg-Landau model
• Stationary optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's refractive index structures
• Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity
• The generalized Duffing oscillator
• Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations
• First integrals and general solution of the complex Ginzburg-Landau equation
• Ginzburg-Landau models of nonlinear electric transmission networks
• On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law
• Fractional traveling wave solutions of the (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation via two methods

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