Results 21 to 30 of about 12,068 (314)
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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Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities [PDF]
Zeitschrift für Naturforschung A, 2018 Abstract We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the ...
Stefan C. Mancas +2 more
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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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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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Oscillatory traveling wave solutions for coagulation equations
Quarterly of Applied Mathematics, 2017 We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }( , ) =\big( ^{1-\varepsilon }+ ^{1-\varepsilon }\big)\big ( \big) ^{\frac{\varepsilon }{2}}$. Heuristically, in suitable exponential variables, one can argue that in this case the long-time behaviour of solutions is similar to the ...
Niethammer, B., Velázquez, J. J. L.
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Abstract and Applied Analysis, 2014 The traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic ...
Lijun Zhang, C. M. Khalique
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The Bifurcations of Traveling Wave Solutions of the Kundu Equation
Journal of Applied Mathematics, 2013 We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained.
Yating Yi, Zhengrong Liu
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Remote Assessment of Ataxia Severity in SCA3 Across Multiple Centers and Time Points
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Spinocerebellar ataxia type 3 (SCA3) is a genetically defined ataxia. The Scale for Assessment and Rating of Ataxia (SARA) is a clinician‐reported outcome that measures ataxia severity at a single time point. In its standard application, SARA fails to capture short‐term fluctuations, limiting its sensitivity in trials.
Marcus Grobe‐Einsler +20 more
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Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
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