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In this paper, we show the effect of fractional temporal evolution on chirped soliton solutions of the Chen-Lee-Liu equation (CLLE). We adopt the New Modified SARDAR Sub-equation Method to derive bright and dark solitons, periodic and singular function solutions, and plot some of them in (3D) dimension. We prove that smaller is the order of the temporal derivative, greater is the effect on the propagating waves. This characterization gives better and full information about these propagating waves, and therefore, it leads to a marked improvement in the multiple related relevant applications.

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This paper applies function transformation method to obtain under certain conditions bright, dark, kink and W-shaped dark solitons waves solutions to the modified Complex Ginzburg Landau Equation (CGLE). These new obtained solutions can be useful in many applications such as communication, medicine, hydrodynamic, thermodynamic just to name a few and can allow to explain physical phenomena.

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