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Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation

dc.contributor.authorJhangeer, Adil
dc.contributor.authorHussain, Amjad
dc.contributor.authorJunaid-U-Rehman, M.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-12-07T12:02:15Z
dc.date.available2022-12-07T12:02:15Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the nonlinear modified Gardner (mG) equation is under consideration which represents the super nonlinear proliferation of the ion-acoustic waves and quantum electron-positronion magneto plasmas. The considered model is investigated with the help of Lie group analysis. Lie point symmetries are computed under the invariance criteria of Lie groups and symmetry group for each generator is reported. Furthermore, the one-dimensional optimal system of subalgebras is developed by adjoint technique and then we compute the similarity reductions corresponding to each vector field present in the optimal system, with the help of similarity reduction method we have to convert the PDE into the ODE. Some exact explicit solutions of obtained ordinary differential equations were constructed by the power series technique. With the aid of the Galilean transformation, the model is transformed into a planer dynamical system and the bifurcation behaviour is recorded. All practicable types of phase portraits with regard to the parameters of the problem considered are plotted. Meantime, sensitivity is observed by utilizing sensitivity analysis. In addition, the influence of physical parameters is studied by the application of an extrinsic periodic power. With additional perturbed term, quasi-periodic and quasi-periodic-chaotic behaviours is reported.en_US
dc.description.publishedMonth2
dc.identifier.citationJhangeer, Adil...et al. (2021). "Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation", Chaos, Solitons and Fractals, Vol. 143.en_US
dc.identifier.doi10.1016/j.chaos.2020.110578
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5950
dc.identifier.volume143en_US
dc.language.isoenen_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChaosen_US
dc.subjectLie Group Analysisen_US
dc.subjectModified Gardner Equationen_US
dc.subjectPhase Portraitsen_US
dc.subjectPower Series Solutionen_US
dc.titleQuasi-periodic, chaotic and travelling wave structures of modified Gardner equationtr_TR
dc.titleQuasi-Periodic, Chaotic and Travelling Wave Structures of Modified Gardner Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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