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

作者：

Highlights：

• The complex Ginzburg-Landau equation is studied using the traveling wave reduction.

• The first integrals for the system of equations are found.

• The general solutions of equation are given for five constraints of parameters.

摘要

•The complex Ginzburg-Landau equation is studied using the traveling wave reduction.•The first integrals for the system of equations are found.•The general solutions of equation are given for five constraints of parameters.

论文关键词：Complex Ginzburg-Landau equation,First integral,General solution,Soliton,

论文评审过程：Received 25 March 2020, Revised 30 April 2020, Accepted 23 May 2020, Available online 30 June 2020, Version of Record 30 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125407