prof. dr hab. Ziemowit Popowicz

Weak solutions - peakon equations

The Fermi-Pasta-Ulam (FPU) problem gave birth to the investigation of soliton theory. The complete integrability of soliton systems explains also the FPU problem. I present in my talk the completely integrable systems with the weak solutions. I discuss the so called peakon equations: Comassa-Holm, Degasperis-Procesi, Novikov, and their different generalizations.