Results 41 to 50 of about 544,293 (332)

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.
openaire   +1 more source

General solutions and applications of the coupled Drinfel’d–Sokolov–Wilson equation

Examples and Counterexamples, 2023
We report a new batch of wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation which represents a coupled system of nonlinear partial differential equations (NLPDEs).
Shreya Mitra, A. Ghose-Choudhury, Sudip Garai   +2 more
doaj   +1 more source

Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support [PDF]

, 2015
We consider the one-dimensional KPP-equation driven by space-time white noise and extend the construction of travelling wave solutions arising from Heavyside initial data from [Tribe, 1996, MR1396765] to non-negative continuous functions with compact ...
Kliem, Sandra
core   +2 more sources

Standing and travelling waves in the shallow-water circular hydraulic jump

, 2007
A wave equation for a time-dependent perturbation about the steady shallow-water solution emulates the metric an acoustic white hole, even upon the incorporation of nonlinearity in the lowest order.
Arnab K. Ray, Barceló, Bohr, Bohr, Bohr, Boley, Bush, Chaudhury, Faber, Granger, Guyon, Hansen, Hansen, Jayanta K. Bhattacharjee, Jordan, Landau, Mathur, Olsson, Petterson, Ray, Rolley, Schützhold, Singha, Strogatz, Tani, Theuns, Unruh, Volovik, Volovik, Walshaw, Watson   +30 more
core   +1 more source

Five‐Year Disease Progression in Synuclein Seeding Positive Sporadic Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To provide a comprehensive description of disease progression in synuclein seeding assay (SAA) positive sporadic Parkinson Disease participants, using Neuronal Synuclein Disease integrated biological and functional impairment staging framework.
Paulina Gonzalez‐Latapi, Caroline Gochanour, Seung Ho Choi, Hyunkeun Cho, Chelsea Caspell‐Garcia, Christopher Coffey, Michael Brumm, David‐Erick Lafontant, Yuge Xiao, Thomas Tropea, John Seibyl, Caroline Tanner, Charles S. Venuto, Karl Kieburtz, Lana M. Chahine, Kathleen L. Poston, Andrew Siderowf, Kenneth Marek, Tanya Simuni, The Parkinson's Progression Markers Initiative   +19 more
wiley   +1 more source

Exact Travelling-Wave Solutions of a Nonlinear Convection–Diffusion Equation with Square-Root Flux

Mathematics
We investigate a nonlinear convection—diffusion equation involving a non-polynomial square-root flux. By applying a travelling-wave reduction and introducing a structurally motivated square-root transformation, we show that the resulting ordinary ...
Esen Hanaç Duruk
doaj   +1 more source

Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation

Zanco Journal of Pure and Applied Sciences, 2019
In this article, We apply the homogeneous balance method to construct the many families of exact solution of travelling wave solution of nonlinear equations, the Benny -Luke equation and vakhnenko-parkes equation.
Israa A. Ibrahim, Wafaa M. Taha, M. S. M. Noorani   +2 more
doaj   +1 more source

Solitary wave solution for the generalized Kawahara equation

Applied Mathematics Letters, 2009
The travelling wave ansatz is used to find the solitary wave solution of the generalized Kawahara equation. The ansatz is obtained from the structure of the soliton solution of the Kawahara equation and the modified Kawahara equation.
A. Biswas
semanticscholar   +1 more source

Travelling waves in nonlinear diffusion-convection-reaction [PDF]

, 2001
The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes.
Gilding, B.H., Kersner, R.
core   +1 more source

Positive travelling fronts for reaction-diffusion systems with distributed delay

, 2010
We give sufficient conditions for the existence of positive travelling wave solutions for multi-dimensional autonomous reaction-diffusion systems with distributed delay.
Faria, Teresa, Trofimchuk, Sergei
core   +1 more source