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Optical soliton solutions of the Ginzburg-Landau equation with conformable derivative and Kerr law nonlinearity
Author(s) -
Behzad Ghanbari,
J.F. GómezAguilar
Publication year - 2018
Publication title -
revista mexicana de física
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.181
H-Index - 25
eISSN - 2683-2224
pISSN - 0035-001X
DOI - 10.31349/revmexfis.65.73
Subject(s) - conformable matrix , exponential function , soliton , nonlinear system , rational function , mathematical analysis , physics , generalization , function (biology) , constraint (computer aided design) , mathematical physics , mathematics , quantum mechanics , geometry , evolutionary biology , biology
By using the generalized exponential rational function method we obtain new periodic and hyperbolic soliton solutions for the conformable Ginzburg-Landau equation with Kerr law nonlinearity. The conformable derivative was considered to obtain the exact solutions under constraint conditions. To determine the solution of the model, the method uses the generalization of the exponential rational function method. Numerical simulations are performed to confirm the efficiency of the proposed method.

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