Results 11 to 20 of about 168,001 (284)
The Bifurcations of Traveling Wave Solutions of the Kundu Equation [PDF]
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. Via some special phase orbits, we obtain some new explicit traveling wave solutions. Our work extends some previous results.
Yating Yi, Zhengrong Liu
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Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]
, 2009 In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
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Waves of maximal height for a class of nonlocal equations with homogeneous symbols [PDF]
, 2018 We discuss the existence and regularity of periodic traveling-wave solutions of a class of nonlocal equations with homogeneous symbol of order $-r$, where $r>1$.
Bruell, Gabriele, Dhara, Raj Narayan
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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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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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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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$L^2$-Stability of Traveling Wave Solutions to Nonlocal Evolution Equations [PDF]
, 2016 Stability of the traveling wave solution to a general class of one-dimensional nonlocal evolution equations is studied in $L^2$-spaces, thereby providing an alternative approach to the usual spectral analysis with respect to the supremum norm.
Lang, Eva, Stannat, Wilhelm
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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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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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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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