Dynamic analysis and derivation of new optical soliton solutions for the modified complex Ginzburg-Landau model in communication systems

Abstract

This study mainly focuses on finding new forms of optical soliton solutions of a modified complex Ginzburg-Landau equation. A versatile integration approach, the extended sinh-Gordon expansion technique is utilized. This technique yields complex hyperbolic, hyperbolic, complex trigonometric and trigonometric solutions of the proposed model. A graphical illustration of the obtained solutions is also given to demonstrate the physical behavior of obtained solutions. Further, bifurcation and chaos techniques are used to study the qualitative analysis of the governing model. The planer system is extracted from the given equation. All possible phase portraits are mapped. It is also determined that the purposed strategies are beneficial to getting exact traveling wave solutions for a wide range of problems in the mathematical sciences.

Keywords

• Solitons
• Extended sinh-Gordon expansion method
• Modified complex Ginzburg-Landau equation
• Bifurcation
• Chaotic solutions