Results 21 to 30 of about 3,970,983 (289)
The Traveling Wave Solutions in a Mixed-Diffusion Epidemic Model
Fractal and Fractional, 2022 In this paper, we study the traveling wave solution of an epidemic model with mixed diffusion. First, we give two definitions of the minimum wave speeds and prove that they are equivalent.
Ru Hou, Wen-Bing Xu
doaj +1 more source
New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer [PDF]
Journal of Applied and Computational Mechanics, 2021 The aim of this paper is to determine the time-dependent MHD fractionalized three-dimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. The governing nonlinear partial differential equations are altered by
Arsalan Ahmed +4 more
doaj +1 more source
Catching a wave: on the suitability of traveling-wave solutions in epidemiological modeling
Theoretical Population Biology, 2023 Abstract Ordinary differential equation models such as the classical SIR model are widely used in epidemiology to study and predict infectious disease dynamics. However, these models typically assume that populations are homogeneously mixed, ignoring possible variations in disease prevalence due to spatial heterogeneity. To address this
Anna M. Langmüller +3 more
openaire +5 more sources
Numerical solution of the dielectrophoretic and travelling wave forces for interdigitated electrode arrays using the finite element method [PDF]
, 2002 AC electrokinetics is the study of the movement of polarisable particles under the influence of AC electric fields. The fields are applied to a suspension of particles by planar microelectrode structures and one particular design, the interdigitated bar ...
Ramos, Antonio +5 more
core +1 more source
Abstract and Applied Analysis, 2011 We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
doaj +1 more source
Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
core +3 more sources
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
openaire +4 more sources
Discrete Dynamics in Nature and Society, 2022 This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two ...
Tianyong Han, Jiajin Wen, Zhao Li
doaj +1 more source
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
openaire +2 more sources
Journal of Applied Mathematics, 2012 An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation.
Weiguo Rui, Yao Long
doaj +1 more source