On short wave-long wave interactions in the relativistic context

Autor: Dias, João Paulo, Frid, Hermano
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we introduce models of short wave-long wave interactions in the relativistic setting. In this context the nonlinear Schr\"odinger 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.
Databáze: arXiv