On the decoupling problem of general quasilinear first order systems in two independent variables

Autor:	Gorgone, Matteo, Oliveri, Francesco, Speciale, Maria Paola
Rok vydání:	2021
Předmět:	Mathematical Physics 35F50 - 58J45 - 76N15
Zdroj:	J. Math. Anal. Appl. 446, 276--298 (2017)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jmaa.2016.08.058
Popis:	The paper deals with the decoupling problem of general quasilinear first order systems in two independent variables. We consider either the case of homogeneous and autonomous systems or the one of nonhomogeneous and/or nonautonomous systems. Necessary and sufficient conditions for the partial or full decoupling of the systems at hand are provided. The conditions involve the properties of eigenvalues and eigenvectors of the coefficient matrix, and provide the differential constraints whose integration leads to the decoupling transformation. Some applications of physical interest are also given. Comment: 32 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.00189 Zobrazit plný text záznamu View this record from Arxiv