New optical solutions of complex Ginzburg–Landau equation arising in semiconductor lasers

Nonlinear optics draws much attention by physicists and mathematicians due to its challenging mathematical structure. The study of non-hamiltonian and dissipative systems is one of the most complicated and challenging issues of nonlinear optics. Recent studies showed that there is a close relationship between superconductivity, Bose–Einstein condensation, and semiconductor lasers. Therefore, the cubic complex Ginzburg–Landau (CGLE) equation is thought to be a useful tool in investigating nonlinear optical events. On the other hand, the CGLE is a very general type of equation that governing a vast variety of bifurcations and nonlinear wave phenomena in spatiotemporally extended systems. In this article, we acquire the new wave solution of time fractional CGLE with the aid of Jacobi elliptic expansion method.