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 ...

We propose a general approach to quasi-deform the Korteweg–De Vries (KdV) equation by deforming its Hamiltonian. The standard abelianization process based on the inherent sl(2) loop algebra leads to ...

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 ...