First integrals and general solution of the complex Ginzburg-Landau equation

DOI10.1016/j.amc.2020.125407zbMath1497.35445OpenAlexW3039547957WikidataQ114211021 ScholiaQ114211021MaRDI QIDQ2656663

Nikolay A. Kudryashov

Publication date: 16 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125407

zbMATH Keywords

general solutionsolitonfirst integralcomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Ginzburg-Landau equations (35Q56)

Related Items (6)

Exact solitary wave and periodic-peakon solutions of the complex Ginzburg-Landau equation: dynamical system approach ⋮ Cubic-quartic optical soliton perturbation with complex Ginzburg-Landau equation by the enhanced Kudryashov's method ⋮ Embedded solitons of the generalized nonlinear Schrödinger equation with high dispersion ⋮ Conservation laws of the complex Ginzburg-Landau equation ⋮ Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity ⋮ Highly dispersive optical solitons of an equation with arbitrary refractive index

Uses Software

• ATFM

Cites Work

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