Speed selection for coupled wave equations

TL;DR

This paper introduces a general mechanism for selecting and tuning the speed of traveling wave solutions in coupled wave equations, with applications to various physical models such as molecular chains and Josephson junctions.

Contribution

It proposes a novel method for speed selection in coupled wave equations, applicable to multiple physical systems, under specific physical conditions.

Findings

A general mechanism for speed tuning is developed.

Applications to molecular chains and Josephson junctions demonstrate effectiveness.

The method enables precise control of wave propagation speeds.

Abstract

We discuss models for coupled wave equations describing interacting fields, focusing on the speed of travelling wave solutions. In particular, we propose a general mechanism for selecting and tuning the speed of the corresponding (multi-component) travelling wave solutions under certain physical conditions. A number of physical models (molecular chains, coupled Josephson junctions, propagation of kinks in chains of adsorbed atoms and domain walls) are considered as examples.