Abstract

GHANBARI, Behzad  and  GOMEZ-AGUILAR, J.F.. Optical soliton solutions of the Ginzburg-Landau equation with conformable derivative and Kerr law nonlinearity. Rev. mex. fis. [online]. 2019, vol.65, n.1, pp.73-81.  Epub Nov 09, 2019. ISSN 0035-001X.

By using the generalized exponential rational function method, we obtain new periodic and hyperbolic soliton solutions for the conformable Ginzburg-Landau equation with the Kerr law nonlinearity. The conformable derivative is considered to obtain the exact solutions under constraint conditions. Numerical simulations are performed to confirm the efficiency of the proposed method.

Keywords : Soliton solutions; generalized exponential rational function method; Ginzburg Landau equation; conformable time fractional derivative; Kerr law nonlinearity; 02.30.Jr; 03.65.Fd; 04.20.Jb.

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