caa a22 4500 477076920 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1007/BF00047883 doi (NATIONALLICENCE)springer-10.1007/BF00047883 Zilbergleit L. Golubinskaya St. 7-2, Apt. #554, 117574, Moscow, Russia aut Second-order differential equation associated with contact geometry: Symmetries, conservation laws and shock waves [Elektronische Daten] [L. Zilbergleit] We describe the structure and the correspondence between contact symmetries and conservation laws for second-order differential equations associated with contact geometry. The construction of the Hugoniot-Rankine conditions on discontinuous solutions (shock waves) in natural terms of symbols and generating functions is given. As an example, we demonstrate our techniques for complete descriptions of the infinite-dimensional algebra of contact symmetries and the infinite-dimensional ideal of conservation laws for the von Kármán equation in gas and hydrodynamics, as well as for the construction of 4-parametric discontinuous solutions (shock waves) with a spiral rotation on boundary surfaces (shock wave front sets). Kluwer Academic Publishers, 1996 nonlinear differential equations nationallicence contact geometry nationallicence sl(2, R )-representation nationallicence divergence type nationallicence contact symmetry nationallicence conservation law nationallicence Hugoniot-Rankine conditions nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers 45/1(1996-10-01), 51-71 0167-8019 45:1<51 1996 45 10440 https://doi.org/10.1007/BF00047883 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00047883 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zilbergleit L. Golubinskaya St. 7-2, Apt. #554, 117574, Moscow, Russia aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 45/1(1996-10-01), 51-71 0167-8019 45:1<51 1996 45 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer