The asymptotic integrability of the idealized water waves is formally established. Namely, it is shown that in the small amplitude, long wave limit there exists an explicit transformation which maps these equations to a system of two integrable equations. It is also shown that the concepts of master symmetries and of bi-Hamiltonian structures can be used to obtain similar results for other physical systems.
No takes yet. Share an insight, caveat, or question.
Fokas et al. (1996) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: