Results 11 to 20 of about 10,323 (288)
Traveling wave solutions to the Allen–Cahn equation [PDF]
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
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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 Wave Solutions in a Reaction-Diffusion Epidemic Model [PDF]
Abstract and Applied Analysis, 2013 We investigate the traveling wave solutions in a reaction-diffusion epidemic model. The existence of the wave solutions is derived through monotone iteration of a pair of classical upper and lower solutions.
Sheng Wang +3 more
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The Exact Traveling Wave Solutions of a KPP Equation
SymmetryWe obtain the exact analytical traveling wave solutions of the Kolmogorov–Petrovskii–Piskunov equation, with the reaction term belonging to the class of functions, which includes that of the (generalized) Fisher equation, for the particular values of the wave’s speed.
Eugene Kogan
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Classification of traveling wave solutions to the Vakhnenko equations
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Yan-jun, Yan-jun Cheng
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Traveling wave solutions of the Camassa–Holm equation
Journal of Differential Equations, 2005 The Camassa-Holm equation (CHE) arises as a model for the unidirectional propagation of shallow water waves over a flat bottom, as well as a model for nonlinear waves in a cylindrical axially symmetric hyperelastic rod. CHE is a bi-Hamiltonian equation with infinitely many conservation laws.
Lenells, Jonatan +2 more
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Electronic Journal of Differential Equations, 2014 This article concerns the traveling wave solutions of nonlocal delay reaction-diffusion equations without local quasimonotonicity. The existence of traveling wave solutions is obtained by constructing upper-lower solutions and passing to a limit ...
Shuxia Pan
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Traveling wave solutions of the Degasperis–Procesi equation
Journal of Mathematical Analysis and Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lenells, Jonatan, Lenells, Jonatan,
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On the existence of traveling wave solutions for cold plasmas
Physica D: Nonlinear PhenomenaThe present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional evolution of a collision-free plasma in a magnetic field. First, using bifurcation theory, we can rigorously prove the existence of periodic traveling waves of small ...
Alonso-Orán, Diego +2 more
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Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]
Springerplus, 2014 Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature.
Islam MH, Khan K, Akbar MA, Salam MA.
europepmc +3 more sources