Numerical computation of an Evans function for travelling waves

Numerical computation of an Evans function for travelling waves.

We demonstrate a geometrically inspired technique for computing Evans functions for the linearised operators about travelling waves. Using the examples of the F-KPP equation and a Keller-Segel model of bacterial chemotaxis, we produce an Evans function which is computable through several orders of magnitude in the spectral parameter and show how such a function can naturally be extended into th...

Numerical Computation of an Evans Function in the Fisher/kpp Equation

We demonstrate a geometrically inspired technique for computing an Evans function for the linearised operator about a travelling wave in the Fisher/KPP equation. We produce an Evans function which is computable through several orders of magnitude in the spectral parameter and show how such a function can naturally be extended into the continuous spectrum. We conclude with a new proof of stabili...

Numerical computation of travelling breathers in Klein-Gordon chains

We numerically study the existence of travelling breathers in KleinGordon chains, which consist of one-dimensional networks of nonlinear oscillators in an anharmonic on-site potential, linearly coupled to their nearest neighbors. Travelling breathers are spatially localized solutions having the property of being exactly translated by p sites along the chain after a fixed propagation time T (the...

Evans function stability of non - adiabatic combustion waves

here right-hand corner of the article or click Receive free email alerts when new articles cite this article-sign up in the box at the top In this paper we investigate the linear stability and properties of the planar travelling non-adiabatic combustion front for the cases of zero and non-zero ambient temperature. The speed of the front is estimated numerically using the shooting and relaxation...

Stability of Travelling Waves