Integrable Hamiltonian systems provide a rigorous framework in which complex dynamical behaviour can be understood through the existence of sufficient independent constants of motion. In particular, ...

Integrable systems have long captured the attention of both mathematicians and physicists due to their rich structure and exact solvability. Within this framework, defects—localised irregularities or ...

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 ...