Results 51 to 60 of about 401 (85)

Addendum to "Travelling waves for a non-local Korteweg-de Vries-Burgers equation" [J. Differential Equations 257 (2014), no. 3, 720--758]

, 2016
We add a theorem to [J. Differential Equations 257 (2014), no. 3, 720--758] by F. Achleitner, C.M. Cuesta and S. Hittmeir. In that paper we studied travelling wave solutions of a Korteweg-de Vries-Burgers type equation with a non-local diffusion term. In
Achleitner, Franz, Cuesta, Carlota M.
core  

Transition Fronts in Time Heterogeneous and Random Media of Ignition Type [PDF]

, 2015
The current paper is devoted to the investigation of wave propagation phenomenon in reaction-diffusion equations with ignition type nonlinearity in time heterogeneous and random media.
Shen, Wenxian, Shen, Zhongwei
core  

Cheng Equation: A Revisit Through Symmetry Analysis

, 2019
The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is given in terms of special functions.
Halder, Amlan K, Leach, Pgl, Paliathanasis, A, Sinuvasan, R   +3 more
core  

Closed-form solutions to the conformable space-time fractional simplified MCH equation and time fractional Phi-4 equation

Results in Physics, 2020
The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman, Hanan A. Alkhidhr   +1 more
doaj  

The speed of invasion in an advancing population. [PDF]

J Math Biol, 2023
Bovier A, Hartung L.
europepmc   +1 more source

Outbreak of Klebsiella pneumoniae ST11 Resistant To Ceftazidime-Avibactam Producing KPC-31 and the Novel Variant KPC-115 during COVID-19 Pandemic in Argentina. [PDF]

Microbiol Spectr, 2022
Nicola F, Cejas D, González-Espinosa F, Relloso S, Herrera F, Bonvehí P, Smayevsky J, Figueroa-Espinosa R, Gutkind G, Radice M.   +9 more
europepmc   +1 more source

Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

European Journal of Applied Mathematics
In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion.
Arnaud Ducrot, Hao Kang
doaj   +1 more source

Travelling waves with continuous profile for hyperbolic Keller-Segel equation

European Journal of Applied Mathematics
This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion.
Quentin Griette, Pierre Magal, Min Zhao
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

European Journal of Applied Mathematics
We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end{equation*} where $\phi *u$ is a spatial convolution with the top hat kernel,
David John Needham, John Billingham, Nikolaos Michael Ladas, John Meyer   +3 more
doaj   +1 more source

Travelling wavefronts for the Belousov–Zhabotinsky system with non-local delayed interaction

European Journal of Applied Mathematics
This article offers an advanced and novel investigation into the intricate propagation dynamics of the Belousov–Zhabotinsky system with non-local delayed interaction, which exhibits dynamical transition structure from bistable to monostable.
Yuanxi Yue, Chunhua Ou
doaj   +1 more source