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Reduction Procedure and Generalized Simple Waves for Systems Written in Riemann Variables |
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| Authors: | Manganaro Natale Meleshko Sergey |
| Institution: | (1) Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31, I-98166 Vill Sant'Agata, Messina, Italy;(2) School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand |
| Abstract: | In this article, the method of differential constraintsis applied for systems written in Riemann variables. Westudied generalized simple waves. This class of solutions can beobtained by integrating a system of ordinary differentialequations. Two models from continuum mechanics are studied:traffic flow and rate-type models. |
| Keywords: | method of differential constraints Riemann variables simple waves |
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