Results 31 to 40 of about 10,459 (265)
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
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Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method
Advances in Mathematical Physics, 2018 We employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation.
Yazhou Shi, Xiangpeng Li, Ben-gong Zhang
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Open Physics, 2023 The main aim of this article is to focus on the dynamics and traveling wave solution of stochastic coupled Konno–Oono equation with multiplicative noise in the Stratonovich sense.
Tang Yong, Li Zhao
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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
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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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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
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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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Spatial dynamics for a non-monotone reaction-diffusion system with spatio-temporal delay
Mathematics in Applied Sciences and EngineeringIn this paper, we study the spreading speed and traveling wave solutions of a non-monotone reaction-diffusion system with spatio-temporal delay. By constructing a pair of auxiliary systems and using the Schauder 's fixed point theorem, the existence of ...
Ge Tian, Na Liang
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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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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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