Multi-dimensional travelling-wave solutions of a flame propagation model

Travelling Wave Solutions of the One Dimensional Diffusion-reaction Equation

A Review of Travelling Wave Solutions

In this paper we review the existence of diierent types of travelling wave solutions u(x; t) = (x ? ct) of degenerate non-linear reaction-diiusion equations of the form u t = D(u)u x ] x + g(u) for diierent density-dependent diiusion coeecients D and kinetic part g. These include the non-linear degenerate generalized Fisher-KPP and the Nagumo equations. Also, we consider an equation whose diius...

On travelling wave solutions of the diffusive Leslie-Gower model

We investigate the diffusive Leslie–Gower predator–prey model. Travelling wave solutions were found and a minimum wave speed relationship was derived. Linear stability analysis was performed in addition to full numerical simulation of the model. All travelling waves were found to be stable. © 2015 Elsevier Inc. All rights reserved.

Travelling Wave Solutions for a Balance Law

We study entropy travelling wave solutions for rst order hyperbolic balance laws. Results concerning existence, regularity and asymptotic stability of such solutions are proved for convex uxes and source terms with simple isolated zeros.

Non-Travelling Wave Solutions of the (2+1)-Dimensional Dispersive Long Wave System

It is important to seek for more explicit exact solutions of nonlinear partial differential equations (NLPDEs) in mathematical physics. With the help of symbolic computation software like Maple or Mathematica, much work has been focused on the various extensions and applications of the known methods to construct exact solutions of NLPDEs. Mathematical modelling of physical systems often leads t...