Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
MethodsXThe paper explores the retrieval of quiescent perturbed solitons in optical metamaterials characterized by nonlinear chromatic dispersion and Kudryashov\u2019s forms of self-phase modulation structures.
Adem AR +5 more
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, 2023 In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana’s conformable derivative using the general Kudryashov method. Firstly, Atangana’s conformable fractional derivative and its properties are
Gurefe, Yusuf
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Dark and Singular Highly Dispersive Optical Solitons with Kudryashov’s Sextic Power-Law of Nonlinear Refractive Index in the Absence of Inter-Modal Dispersion [PDF]
, 2023 The current paper studies highly dispersive optical solitons with the aid of Kudryashov’s integration algorithm. The governing model employs Kudryashov’s sextic power law of nonlinear refractive index.
Arnous, Ahmed H. +15 more
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Families of vector fields with many numerical invariants [PDF]
, 2021 We study bifurcations in finite-parameter families of vector fields on $S^2$. Recent papers by Yu. Ilyashenko, N. Goncharuk, Yu. Kudryashov, I. Schurov, and N.
Goncharuk, Nataliya, Kudryashov, Yury
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Finding soliton solutions of some partial differential equations by generalized Kudryashov method [PDF]
, 2022 Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez çalışması beş farklı kısımdan oluşmaktadır. Birinci kısımda genelleştirilmiş Kudryashov metodunun oluşumu ve metodun uygulanması ile ilgili bazı bilgiler verilmiştir.
Ceren, Emre
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, 2023 Journée d'études organisée par l'association BESEDA (Bibliothécaires en Etudes Slaves). A l'initiative de Dmitry Kudryashov, responsable scientifique du secteur Europe médiane à la Bnu et président de l'association BESEDA, en partenariat avec la Bnf et ...
Dmitry Kudryashov
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Application of Kudryashov method for the Ito equations [PDF]
, 2017 In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact
Akbari, Mozhgan
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Entropy, 2015 In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method.
Haci Mehmet Baskonus, Hasan Bulut
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Periodic Loop Solutions and Their Limit Forms for the Kudryashov‐Sinelshchikov Equation [PDF]
Mathematical Problems in Engineering, 2012 The Kudryashov‐Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions.
He, Bin +3 more
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A study on the compatibility of the generalized Kudryashov method to determine wave solutions
Propulsion and Power Research, 2021 In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC) equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops, surfaces of negative constant ...
Hemonta Kumar Barman +2 more
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