@Article{CMAA-1-263, author = {Dias , João Paulo and Frid , Hermano}, title = {On Short Wave-Long Wave Interactions in the Relativistic Context}, journal = {Communications in Mathematical Analysis and Applications}, year = {2022}, volume = {1}, number = {2}, pages = {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.

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2021-0006}, url = {http://global-sci.org/intro/article_detail/cmaa/20308.html} }