Open AccessThe complex Ginzburg Landau equation in kerr and parabolic law media
Author(s) -
Esma Ateş
Publication year - 2020
Publication title -
an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2020.00813
Subject(s) - ansatz , elliptic function , soliton , nonlinear system , function (biology) , kerr effect , physics , mathematical analysis , mathematical physics , mathematics , quantum mechanics , evolutionary biology , biology
This paper study the complex Ginzburg-Landau equation with two different forms of nonlinearity. The Jacobi elliptic ansatz method is used to obtain the optical soliton solutions of this equation in the kerr and parabolic law media. Bright and dark optical soliton solutions are acquired as well as Jacobi elliptic function solutions. The existence criteria of these solutions are also indicated.