New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg‐Landau Equation via the Conformable Fractional Derivative

Zhao Li and Tianyong Han

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: In this study, the exact traveling wave solutions of the time fractional complex Ginzburg‐Landau equation with the Kerr law and dual‐power law nonlinearity are studied. The nonlinear fractional partial differential equations are converted to a nonlinear ordinary differential equation via a traveling wave transformation in the sense of conformable fractional derivatives. A range of solutions, which include hyperbolic function solutions, trigonometric function solutions, and rational function solutions, is derived by utilizing the new extended (G′/G)‐expansion method. By selecting appropriate parameters of the solutions, numerical simulations are presented to explain further the propagation of optical pulses in optic fibers.

Date: 2021
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https://doi.org/10.1155/2021/8887512

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:8887512

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