Traveling wave solutions of compressible fluid equations and orbital stability
AIP Advances, 2015 In this paper, we discuss the existence of traveling wave solutions for compressible fluid equations by applying the theory and method of planar dynamical system, and obtain explicit expressions for all bounded traveling wave solutions by undetermined ...
Xiang Li, Weiguo Zhang, Zhengming Li
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Traveling waves of a delayed epidemic model with spatial diffusion
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the existence and non-existence of traveling waves for a delayed epidemic model with spatial diffusion. That is, by using Schauder's fixed-point theorem and the construction of Lyapunov functional, we prove that when the basic ...
Wu Pei, Qiaoshun Yang, Zhiting Xu
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Analysis of voltage and current flow of electrical transmission lines through mZK equation
Results in Physics, 2021 Discrete networks, nonlinear networks, high speed computer data buses, computer network connections, and cable signal distribution are analyzed using the modified Zakharov-Kuznetsov (mZK) equation as a model governing the propagation in the electrical ...
M. Ali Akbar +4 more
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Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model
, 2014 In this paper, we study the existence and uniqueness of traveling wave solution for the accelerated Frenkel-Kontorova model. This model consists in a system of ODE that describes the motion particles in interaction.
Forcadel, Nicolas +2 more
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Geometric scaling as traveling waves [PDF]
, 2003 We show the relevance of the nonlinear Fisher and Kolmogorov-Petrovsky- Piscounov (KPP) equation to the problem of high energy evolution of the QCD amplitudes. We explain how the traveling wave solutions of this equation are related to geometric scaling,
A. Kolmogorov +10 more
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Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
Open Mathematics, 2022 This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
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Exact and Asymptotic Conditions on Traveling Wave Solutions of the Navier-Stokes Equations
, 2009 We derive necessary conditions that traveling wave solutions of the Navier-Stokes equations must satisfy in the pipe, Couette, and channel flow geometries.
Divakar Viswanath +3 more
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Spatial dynamics for a model of epidermal wound healing
Mathematical Biosciences and Engineering, 2014 In this paper, we consider the spatial dynamics for a non-cooperative diffusion system arising from epidermal wound healing.We shall establish the spreading speed and existence of traveling waves and characterize the spreading speed as the slowest ...
Haiyan Wang, Shiliang Wu
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Euler–Darboux–Poisson Equation in Context of the Traveling Waves in a Strongly Inhomogeneous Media
Mathematics, 2023 The existence of traveling waves in an inhomogeneous medium is a vital problem, the solution of which can help in modeling the wave propagation over long distances. Such waves can be storm waves or tsunami waves in the seas and oceans.
Ioann Melnikov, Efim Pelinovsky
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The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations [PDF]
, 1986 Traveling wave solutions have been studied for a variety of nonlinear parabolic problems. In the initial value approach to such problems the initial data at infinity determines the wave that propagates.
Hagstrom, Thomas, Keller, H. B.
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