Optical Solitons with the Complex Ginzburg-Landau Equation with Kudryashov's Law of Refractive Index

In this paper, the optical solitons for the complex Ginzburg-Landau equation with Kudryashov's law of refractive index are established. An improved modified extended tanh-function technique is used to extract numerous solutions. Bright and dark solitons, as well as singular soliton solutions, are achieved. In addition, as the modulus of ellipticity approaches unity or zero, solutions are formulated in terms of Jacobi's elliptic functions, which provide solitons and periodic wave solutions.

Automated summary

In this paper, optical soliton solutions for the complex Ginzburg-Landau equation with Kudryashov's law of refractive index are derived using an improved modified extended tanh-function technique. Bright and dark solitons, as well as singular soliton solutions, are obtained. Additionally, as the modulus of ellipticity approaches unity or zero, solutions are expressed in terms of Jacobi's elliptic functions, which yield solitons and periodic wave solutions.