Resulov, MahirSinsoysal, Bahaddin2015-04-032015-04-032012BEYKENT UNIVERSITY JOURNAL OF SCIENCE AND ENGINEERING Volume 5(1-2), 2012, 49-611307-3818In this paper the exact solution for Cauchy problem of first order nonlinear partial equation with piece-wise initial condition described scalar conservation laws without convexity of the state function. In particular, the state functions having four and one point of inflection are considered. The structure of solutions is investigated.enScalar conservation lawsstate function without convexityconvex and concave hullweak solutionArticle