N. N. Fimin, V. M. Chechetkin, “Systems of quasi-linear equations with the same principal part and hydrodynamic substitution”, Keldysh Institute preprints, 2018,055, 12 pp.

Systems of quasi-linear equations with the same principal part and hydrodynamic substitution

N. N. Fimin, V. M. Chechetkin

Abstract: The possibility of using the Monge potentials for the purpose of construction for dynamical systems of Liouville–Jacobi equations and application of a modified hydrodynamic substitution to them.

Keywords: Liouville equation, quasilinear equations, hydrodynamic substitution, Monge potentials, equations with the same principal part.

DOI: 10.20948/prepr-2018-55