Results 21 to 30 of about 4,035,517 (274)
Nematicons in liquid crystals with Kerr Law by sub-equation method
Alexandria Engineering Journal, 2022 In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals.
Serbay Duran, Bayhan Karabulut
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Results in Physics, 2016 In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method.
M. Arshad +3 more
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Advances in Mathematical Physics, 2023 In this paper, we are concerned with traveling wave solutions for two preys–one predator system with switching effect. First, we discuss that there is no traveling wave solution for this system by using linearization method.
Hang Zhang, Yujuan Jiao, Jinmiao Yang
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Application of Bifurcation Method to the Generalized Zakharov Equations
Abstract and Applied Analysis, 2012 We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. A number of traveling wave solutions are obtained.
Ming Song
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Frontiers in Applied Mathematics and Statistics, 2022 In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
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Traveling wave solutions to the Allen–Cahn equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 For the Allen–Cahn equation, it is well known that there is a monotone standing wave joining the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen–Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillations and they are obtained with the aid of ...
Chen, Chao-Nien, Coti Zelati, Vittorio
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Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms.
Fuzhen Wu, Dongfeng Li
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Extended Gâ²G-expansion method for CalogeroâBogoyavlinskiiâSchiff equation of fractional order
Journal of Taibah University for Science, 2017 In this paper, we explore new applications of the extended Gâ²G-expansion method. We apply this method to the nonlinear CalogeroâBogoyavlinskiiâSchiff equation of fractional order.
Syed Tauseef Mohyud-Din, Fitnat Saba
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Observations on the basic (G′/G)-expansion method for finding solutions to nonlinear evolution equations [PDF]
, 2010 The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
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Travelling wave solutions on an axisymmetric ferrofluid jet [PDF]
Journal of Fluid Mechanics, 2019 We consider a potential flow model of axisymmetric waves travelling on a ferrofluid jet. The ferrofluid coats a copper wire, through which an electric current is run. The induced azimuthal magnetic field magnetises the ferrofluid, which in turn stabilises the well known Plateau–Rayleigh instability seen in axisymmetric capillary jets.
A. Doak, J.-M. Vanden-Broeck
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