This paper deals with the existence of travelling wave fronts of delayed reaction diffusion systems with partial quasi-monotonicity. We propose a concept of “desirable pair of upper-lower solutions”, through which a subset can be constructed. We then apply the Schauder’s fixed point theorem to some appropriate operator in this subset to obtain the existence of the travelling wave fronts.

We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky [8]. We show that it admits travelling wave solutions that converge in the limit of zero temperature diffusivity to the travelling fronts of a reduced system constructed in [6].

This article introduces a new variant on the popular optimization method, simulated annealing, herein called modified discrete-state simulated annealing. A guide in practical implementation of simulated tempering is also provided. The algorithms are tested in the design of an ideal collector for a travelling wave tube amplifier. keywords: simulated annealing, simulated tempering, travelling wav...

Simultaneous pulse generation from ground state and excited state transitions in a two-section quantum-dot laser is studied via a finite-difference travelling-wave model; design rules to obtain stable dual-wavelength mode-locking regime over a wide range of bias current and voltage are proposed. Quantum-dot laser; passive mode-locking; two-state lasing; finite-difference travelling-wave model;

We study travelling wave solutions for a class of fourth order parabolic equations. Travelling wave fronts of the form u(x, t) = U(x + ct), connecting homogeneous states, are proven to exist in various cases: connections between two stable states, as well as connections between an unstable and a stable state, are considered.