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Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity

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dc.contributor.author Chu, Yuming
dc.contributor.author Shallal, Muhannad A.
dc.contributor.author Mirhosseini-Alizamini, Seyed Mehdi
dc.contributor.author Rezazadeh, Hadi
dc.contributor.author Javeed, Shumaila
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-22T10:42:11Z
dc.date.available 2022-03-22T10:42:11Z
dc.date.issued 2021
dc.identifier.citation Chu, Yuming...et al. (2021). "Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity", CMC-Computers Materials & Continua, Vol. 66, No. 2, pp. 1369-1378. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/5159
dc.description.abstract The purpose of this work is to find new soliton solutions of the complex Ginzburg-Landau equation (GLE) with Kerr law non-linearity. The considered equation is an imperative nonlinear partial differential equation (PDE) in the field of physics. The applications of complex GLE can be found in optics, plasma and other related fields. The modified extended tanh technique with Riccati equation is applied to solve the Complex GLE. The results are presented under a suitable choice for the values of parameters. Figures are shown using the three and two-dimensional plots to represent the shape of the solution in real, and imaginary parts in order to discuss the similarities and difference between them. The graphical representation of the results depicts the typical behavior of soliton solutions. The obtained soliton solutions are of different forms, such as, hyperbolic and trigonometric functions. The results presented in this paper are novel and reported first time in the literature. Simulation results establish the validity and applicability of the suggested technique for the complex GLE. The suggested method with symbolic computational software such as, Mathematica and Maple, is proven as an effective way to acquire the soliton solutions of nonlinear partial differential equations (PDEs) as well as complex PDEs. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.32604/cmc.2020.012611 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Modified Extended Tanh Technique tr_TR
dc.subject Soliton Solution tr_TR
dc.subject Complex Ginzburg–Landau Equation tr_TR
dc.subject Riccati Equation tr_TR
dc.title Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity tr_TR
dc.type article tr_TR
dc.relation.journal CMC-Computers Materials & Continua tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 66 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 1369 tr_TR
dc.identifier.endpage 1378 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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