Answers are grounded in this paper and cite their sources.
Zakharov's (1968) Hamiltonian formulation of water waves is used to prove analytically Tanaka's (1983) numerical result that superharmonic disturbances to periodic waves of permanent form exchange stability when the wave energy is an extremum as a function of wave height. Tanaka's (1985) explanation for the non-appearance of superharmonic bifurcation is also derived, and the non-existence of stability exchange when the wave speed is an extremum is explained.
No takes yet. Share an insight, caveat, or question.
P. G. Saffman (1985) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: