2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120238Using the Calogero model as an example, we show that the transport in interacting non-dissipative electronic systems is essentially non-linear. Non-linear effects are due to the curvature of the electronic spectrum near the Fermi energy. As is typical for non-linear systems, propagating wave packets are unstable. At finite time shock wave singularities develop, the wave packet collapses, and oscillatory features arise. They evolve into regularly structured localized pulses carrying a fractionally quantized charge - {\it soliton trains}. We briefly discuss perspectives of observation of Quantum Shock Waves in edge states of Fractional Quantum Hall Effect and a direct measurement of the fractional charge.Strongly Correlated ElectronsMesoscale and Nanoscale PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext