Results 21 to 30 of about 10,459 (265)
Traveling wave solutions for a class of reaction-diffusion system
Boundary Value Problems, 2021 In this paper we investigate the existence of traveling wave for a one-dimensional reaction diffusion system. We show that this system has a unique translation traveling wave solution.
Bingyi Wang, Yang Zhang
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Travelling Wave Solutions of the Schrödinger‐Boussinesq System [PDF]
Abstract and Applied Analysis, 2012 We establish exact solutions for the Schrödinger‐Boussinesq System iut + uxx − auv = 0, , where a and b are real constants. The (G′/G)‐expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)‐expansion method provides not only more general forms of solutions but also ...
Kılıcman, Adem, Abazari, Reza
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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
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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
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Bifurcations of traveling wave solutions of a generalized Dullin-Gottwald-Holm equation
上海师范大学学报. 自然科学版, 2015 The bifurcations of traveling wave solutions of a generalized Dullin-Gottwald-Holm equation ut−α2uxxt+2ωux+βumux+γuxxx = α2(2uxuxx+uuxxx) is studied by using the method of planar dynamical systems. Different kinds of traveling wave solutions, such as the
FAN Xinghua, LI Shasha
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Traveling waves in a parabolic problem with a rotation on the circle [PDF]
Компьютерные исследования и моделирование, 2017 Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
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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
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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
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The Traveling Wave Solutions to a Variant of the Boussinesq Equation
Electronic Journal of Applied Mathematics, 2023 In this study, we study a variant of the Boussinesq equation called as \(B( n+1,\,1,\,n )\) equation, and construct some traveling wave solutions by using an effective approach called the extended trial equation method. Thus, the soliton solutions, rational function solutions, elliptic function solutions and Jacobi elliptic function solutions, which ...
Nadeem, Muhammad +1 more
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Exact Travelling Wave Solutions of a Beam Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2021 In this paper we make a full analysis of the symmetry reductions of a beam equation by using the classical Lie method of infinitesimals and the nonclassical method. We consider travelling wave reductions depending on the form of an arbitrary function.
Camacho Moreno, José Carlos +3 more
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