Additional conservation laws, functional relations between conservation laws, and potentials of divergent gas dynamics equations

Terent’ev, 1975, The complete system of divergent equations of ideal gas dynamics, Zh Vychisl Mat Mat Fiz, 15, 1535 Shmyglevskii, 1999 Godunov, 1961, An interesting class of quasi-linear systems, Dokl Akad Nauk SSSR, 139, 521 Kozlov, 1995 Chirkunov, 2012, Non-local conservation laws for the equations of irrotational isentropic plane-parallel gas motion, J Appl Math Mech, 76, 199, 10.1016/j.jappmathmech.2012.05.011 Rylov, 2002, Chaplygin equations and an infinite set of uniformly divergent gas-dynamics equations, Dokl Physics, 47, 173, 10.1134/1.1467855 Chirkunov, 2010, Conservation laws and group properties of the equations of isentropic gas motion, J Appl Mech Tech Phys, 51, 1, 10.1007/s10808-010-0001-6 Rylov, 2014, Functional dependence between gas dynamics conservation laws corresponding to separation of variables, Dokl Math, 89, 124, 10.1134/S1064562414010359 Rylov, 2005, A non-stationary analogue of Chaplygin's equations in one-dimensional gas dynamics, J Appl Math Mech, 69, 222, 10.1016/j.jappmathmech.2005.03.008 Rylov, 2012, Potentials of divergent equations and new additional conservation laws for two-dimensional steady gas flows, Dokl Physics, 57, 483, 10.1134/S1028335812120063