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New complex wave structures to the complex Ginzburg-Landau model. (English) Zbl 1485.35019

Summary: We study and analysis the complex Ginzburg-Landau model or CGL model to obtain some new solitary wave structures through the modified \((G'/G) \)-expansion method. Those solutions can explain through hyperbolic, trigonometric, and rational functions. The graphical design makes the dynamics of the equations noticeable. Herein, we state that the examined method is important, powerful, and significant in performing numerous solitary wave structures of various nonlinear wave models following in physics and engineering as well.

MSC:

35B10 Periodic solutions to PDEs
35A24 Methods of ordinary differential equations applied to PDEs
70K50 Bifurcations and instability for nonlinear problems in mechanics
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