Natale Manganaro†, Alessandra Rizzo‡
Abstract: In this paper we propose a reduction procedure for determining generalized traveling waves for first order quasilinear hyperbolic non-homogeneous systems. The basic idea is to look for solutions of the governing model that satisfy a further set of differential constraints. Some applications are given for a barotropic fluid with a source term.
Keywords: differential constraints, traveling waves, ideal fluid.
MSC: 35C07, 35C05, 35L40.
DOI 10.56082/annalsarscimath.2025.3.119
† nmanganaro@unime.it, Department of Mathematical, Computer, Physical and Earth Sciences (MIFT), University of Messina, V.le F. Stagno D’Alcontres 31, 98166 Messina, Italyy
‡ alessandra.rizzo07@unipa.it, Department of Mathematics and Computer Science, University of Palermo, via Archirafi 34, 98123 Palermo, Italy
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 3, 2025
