We present results of the calculation of superharmonic normal mode perturbations to the exact nonlinear deep-water capilary wave solution of Crapper (1957). By using the method of Longuet-Higgins (1978a), we are able for the first time to consider all waveheights up to and including the maximum for two-dimensional perturbations. We find agreement with the recent asymptotic analysis of Hogan, Gruman & Stiassnie (1988). Superharmonic instabilities are found at various waveheights less than the maximum.
No takes yet. Share an insight, caveat, or question.
S. J. Hogan (1988) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: