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Reduction Procedure and Generalized Simple Waves for Systems Written in Riemann Variables

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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.

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Manganaro, N., Meleshko, S. Reduction Procedure and Generalized Simple Waves for Systems Written in Riemann Variables. Nonlinear Dynamics 30, 87–102 (2002). https://doi.org/10.1023/A:1020341610639

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