Showing papers by "Wolfgang K. Schief published in 2004"
TL;DR: In this article, a differential-difference version of the Loewner-Konopelchenko-Rogers (LKR) system is constructed by discretization of the spatial variables in the continuous LKR system.
Abstract: A differential-difference version of the Loewner-Konopelchenko-Rogers (LKR) system is constructed by discretization of the spatial variables in the continuous LKR system. The differential-difference LKR system admits a diversity of significant reductions. The symmetry algebras of the discrete LKR system and its reductions are shown to possess underlying Kac-Moody-Virasoro type structure. A discrete dromion-like solution of the LKR system is constructed via finite symmetry group transformation.
7 citations
TL;DR: In this paper, a class of multi-parameter reciprocal transformations which leave invariant, up to the equation of state, the governing equations of steady, plane, non-homentropic gasdynamics is used to reveal hidden integrability in subsonic motion.
7 citations