New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg-Landau Equation via the Conformable Fractional Derivative
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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.
2010 ◽
Vol 217
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pp. 1-10
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2005 ◽
Vol 43
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pp. 787-790
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2020 ◽
Vol 34
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pp. 2050079
2013 ◽
Vol 18
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pp. 124-135
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2007 ◽
Vol 236
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pp. 65-74
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2020 ◽
Vol 43
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pp. 8518-8526
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2020 ◽
Vol 135
(8)
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