On Short Wave-Long Wave Interactions in the Relativistic Context

Authors

  • João Paulo Dias
  • Hermano Frid

DOI:

https://doi.org/10.4208/cmaa.2021-0006

Keywords:

Short wave-long wave interaction, Dirac equation, Klein-Gordon equation, relativistic Burgers equation, ABI equations.

Abstract

In this paper we introduce models of short wave-long wave interactions in the relativistic setting. In this context the nonlinear Schrödinger equation is no longer adequate for describing short waves and is replaced by a nonlinear Dirac equation. Two specific examples are considered: the case where the long waves are governed by a scalar conservation law; and the case where the long waves are governed by the augmented Born-Infeld equations in electromagnetism.

Published

2022-03-04

Issue

Section

Articles