Abstract

On Double Waves of Homogeneous Systems of 4 Quasilinear Equations

J.Tanthanuch, S.V.Meleshko (School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, Thailand)

e-mail: sergey@math.sut.ac.th

The study of autonomous homogeneous overdetermined system with two dependent variables and three independent variables is considered in the presentation. The research is separated in two parts. In the first part we classify all systems, which have solutions with functional arbitrariness. Another part is devoted to systems with solutions, which are defined up to constants. Full analysis of double waves for two dimensional equations of rigid plastic body is given.

Section : 12