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

dc.contributor.authorChu, Yuming
dc.contributor.authorShallal, Muhannad A.
dc.contributor.authorMirhosseini-Alizamini, Seyed Mehdi
dc.contributor.authorRezazadeh, Hadi
dc.contributor.authorJaveed, Shumaila
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-22T10:42:11Z
dc.date.available2022-03-22T10:42:11Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe 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.en_US
dc.identifier.citationChu, 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.en_US
dc.identifier.doi10.32604/cmc.2020.012611
dc.identifier.endpage1378en_US
dc.identifier.issue2en_US
dc.identifier.startpage1369en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5159
dc.identifier.volume66en_US
dc.language.isoenen_US
dc.relation.ispartofCMC-Computers Materials & Continuaen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModified Extended Tanh Techniqueen_US
dc.subjectSoliton Solutionen_US
dc.subjectComplex Ginzburg–Landau Equationen_US
dc.subjectRiccati Equationen_US
dc.titleApplication of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearitytr_TR
dc.titleApplication of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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