Innovative solutions and sensitivity analysis of a fractional complex Ginzburg-Landau equation

A diverse range of traveling wave structures of fractional complex Ginzburg-Landau equation with Kerr law and power-law nonlinearity are obtained by using the bifurcation method. The existence of wave solutions is guaranteed by reporting constraint conditions and with the help of traveling wave transformation the governing model is converted into the planar dynamical system. Every bounded phase orbits are plotted for pertinent parameters. We also extract the nonlinear periodic solutions of the considered problem and outcomes are presented graphically with the help of contemporary software that allows computation of equations within the symbolic format. Furthermore, the quasiperiodic and chaotic behavior and sensitivity of the model is analyzed for different values of parameters after deploying an external periodic force and on some initial value. MSC Classi cation: 34K20 , 34K18 , 37G10 , 78M25