Results 21 to 30 of about 3,841 (206)
Nonlinear Engineering, 2017 The aim of this paper is to obtain the exact solutions of the strain wave equation applied for illustrating wave propagation in microstructured solids.
Ayati Z., Hosseini K., Mirzazadeh M.
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Soliton solutions of Wu-Zhang system by generalized Kudryashov method
AIP Conference Proceedings, 2018 In this paper, generalized Kudryashov method (GKM) is used to find some exact solutions of Wu-Zhang system. Firstly, we get dark soliton solutions of this system by using GKM. Then, we plot graphics of some solutions of this system. Also, we remark results that we found by using this method.
ÇELİK, Ercan +2 more
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Extended Kudryashov Method for Fractional Nonlinear Differential Equations
Mathematical Sciences and Applications E-Notes, 2018 In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to two nonlinear fractional differential equations.
EGE, Serife Muge, MİSİRLİ, Emine
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Journal of Applied Mathematics, 2018 A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
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Formalizing the Divergence Theorem and the Cauchy Integral Formula in Lean [PDF]
, 2022 I formalize a version of the divergence theorem for a function on a rectangular box that does not assume regularity of individual partial derivatives, only Fréchet differentiability of the vector field and integrability of its divergence. Then I use this
Kudryashov, Yury
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Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]
Nonlinear Analysis, 2012 In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
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On the Solutions for a Fifth Order Kudryashov–Sinelshchikov Type Equation
Symmetry, 2022 The fifth order Kudryashov–Sinelshchikov equation models the evolution of the nonlinear waves in a gas–liquid mixture, taking into account an interphase heat transfer, surface tension, and weak liquid compressibility simultaneously at the derivation of the equations for non-linear-waves.
Giuseppe Maria Coclite, Lorenzo di Ruvo
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Optical solitons with Kudryashov’s sextic power-law nonlinearity
Optik, 2022 Objective - The main objective of this paper is to investigate analytic soliton solutions of a nonlinear Schrodinger equation (NLSE), including Kudryashov's sextic power-law nonlinearity by introducing different approaches of two efficient analytical methods. The considered equa-tion has been recently introduced by N. A.
Muslum Ozisik +3 more
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New exact solitary wave solutions for the extended (3 + 1)-dimensional Jimbo-Miwa equations
Results in Physics, 2018 In this manuscript, new solitary wave solutions for the newly introduced extended (3 + 1)-dimensional Jimbo-Miwa equations (the first and second) by Wazwaz (2017) are presented alongside the classical equation solution for comparison.
Khalid K. Ali +2 more
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New wave behaviors of the Fokas-Lenells model using three integration techniques.
PLoS ONE, 2023 In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear waveform arising in birefringent fibers.
Mohammad Safi Ullah +2 more
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