Integrable systems represent a unique class of mathematical models in which the dynamics can be exactly solved through the existence of a sufficient number of conserved quantities. They offer a ...

Integrable systems form a distinguished class of dynamical models admitting exact solutions through analytical methods. In classical mechanics, Liouville integrability requires as many independent ...

Processes in nature can often be described by equations. In many non-trivial cases, it is impossible to find the exact solutions to these equations. However, some equations are much simpler to deal ...

Thermalization in classical systems can be well-understood by ergodicity. While ergodicity is absent for quantum systems, it is generally believed that the non-integrable quantum systems should ...