Special Session 70: Nonlinear phenomena: Theory and applications
Contents
Semi-Hamiltonian integrable hydrodynamic type systems which describe critical points of functions
obeying the linear Darboux systems are discussed. It is shown that a wide class of such systems can be
constructed starting with the Lauricella type solutions of the Euler-Poisson-Darboux equations. Classical
multi-phase Whitham equations for the Korteweg-de Vries equation are particular examples of such systems.