On Some Global Properties of Multivalued Simple Waves

Authors

  • Dmitry V. Tunitsky V.A. Trapeznikov Institute of Control Sciences of RAS, Moscow, Russia

DOI:

https://doi.org/10.25728/assa.2020.20.4.1022

Keywords:

hyperbolic quasilinear wave equation, multivalued solution, Cauchy problem, simple wave

Abstract

The Cauchy problem for one-dimensional quasilinear wave equation is considered. In the case that its solutions are multivalued simple waves, we derive explicit expressions in quadratures by introducing global characteristic coordinates. The main result of the paper is a theorem on some global properties of multivalued simple waves.

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Published

2021-01-01

Issue

Vol. 20 No. 4 (2020): Advances in Systems Science and Applications

Section

Articles

How to Cite

On Some Global Properties of Multivalued Simple Waves. (2021). Advances in Systems Science and Applications, 20(4), 125-131. https://doi.org/10.25728/assa.2020.20.4.1022