Year: 2022
Author: João Paulo Dias, Hermano Frid
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 2 : pp. 263–284
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2021-0006
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 2 : pp. 263–284
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Short wave-long wave interaction Dirac equation Klein-Gordon equation relativistic Burgers equation ABI equations.