Optical solitons and other solutions to the conformable space–time fractional complex Ginzburg–Landau equation under Kerr law nonlinearity

Pramana: Journal of physics

HASAN BULUT^1,4¹  HACI MEHMET BASKONUS^3³  TUKUR ABDULKADIR SULAIMAN^1,2⁴ 

[1] Department of Computer Engineering, Munzur University, Tunceli, Turkey^3;Department of Mathematics Education, Final International University, Kyrenia, Cyprus^4;Department of Mathematics, Federal University, Dutse, Jigawa State, Nigeria^2;Department of Mathematics, Firat University, Elazig, Turkey^1

关键词: Sinh-Gordon equation;    Ginzburg–Landau equation;    optical soliton;    periodic wave;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This study reveals the dark, bright, combined dark–bright, singular, combined singular optical solitons and singular periodic solutions to the conformable space–time fractional complex Ginzburg–Landau equation. We reach such solutions via the powerful extended sinh-Gordon equation expansion method (ShGEEM). Constraint conditions that guarantee the existence of valid solitary wave solutions are given. Under suitable choice of the parameter values, interesting three-dimensional graphs of some of the obtained solutions are plotted.

【 授权许可】

CC BY