Results 1 to 10 of about 171,037 (334)
Oscillatory travelling wave solutions for coagulation equations [PDF]
Quarterly of Applied Mathematics, 2017 We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }( , ) =\big( ^{1-\varepsilon }+ ^{1-\varepsilon }\big)\big ( \big) ^{\frac{\varepsilon }{2}}$. Heuristically, in suitable exponential variables, one can argue that in this case the long-time behaviour of solutions is similar to the ...
Barbara Niethammer +1 more
openalex +3 more sources
Mathematical Biosciences and Engineering, 2023 In this paper, we approximate traveling wave solutions via artificial neural networks. Finding traveling wave solutions can be interpreted as a forward-inverse problem that solves a differential equation without knowing the exact speed.
Sung Woong Cho +2 more
doaj +2 more sources
Traveling Waves Solutions for Delayed Temporally Discrete Non-Local Reaction-Diffusion Equation [PDF]
Mathematics, 2021 This paper deals with the existence of traveling wave solutions to a delayed temporally discrete non-local reaction diffusion equation model, which has been derived recently for a single species with age structure.
Hongpeng Guo, Zhiming Guo
doaj +2 more sources
Travelling Wave Solutions to a Gradient System [PDF]
Transactions of the American Mathematical Society, 1988 Given a system of reaction-diffusion equations where the nonlinearity is derived from a potential with certain restrictions, we use the Conley index and the connection matrix to show that there is a travelling wave solution connecting the maxima of the potential.
James F. Reineck
openalex +2 more sources
A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions [PDF]
Abstract and Applied Analysis, 2013 We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model. Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton ...
Xianbin Wu, Weiguo Rui, Xiaochun Hong
doaj +2 more sources
Analysis of equilibrium point based on viscous traffic flow model [PDF]
ITM Web of Conferences, 2022 In this paper, the phase plane analysis method is used, which can describe and predict the nonlinear traffic phenomenon on Expressway from the perspective of system global stability.
Ai Wenhuan, Ma Yunfei, Liu Dawei
doaj +1 more source
Mathematical Biosciences and Engineering, 2021 This paper is devoted to studying the existence and nonexistence of traveling wave solution for a nonlocal dispersal delayed predator-prey system with the Beddington-DeAngelis functional response and harvesting.
Zhihong Zhao, Yan Li , Zhaosheng Feng
doaj +1 more source
Qualitative and quantitative fractional low-pass electrical transmission line model
Results in Physics, 2021 In this paper, the fractional low-pass electrical transmission line model is considered, whose fractional definition is defined by conformal fractional derivative.
Dongyan Dai
doaj +1 more source
Advances in Mathematical Physics, 2021 The exact traveling wave solution of the fractional Sharma-Tasso-Olever equation can be obtained by using the function expansion method, but the general traveling wave solution cannot be obtained.
Kai Fan, Rui Wang, Cunlong Zhou
doaj +1 more source
Advances in Mathematical Physics, 2023 In this paper, we are concerned with traveling wave solutions for two preys–one predator system with switching effect. First, we discuss that there is no traveling wave solution for this system by using linearization method.
Hang Zhang, Yujuan Jiao, Jinmiao Yang
doaj +1 more source