Integrable systems, a cornerstone in mathematical physics, are distinguished by the existence of an infinite number of conserved quantities and exact solution methods. These systems, ranging from the ...

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 ...

Integrable dynamics within Hamiltonian systems occupy a distinguished niche in classical and modern physics, characterised by the capacity to solve the governing equations exactly through analytical ...

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 ...