SYMMETRIC BIFURCATION OF STOKES WATER WAVES

doi:10.6052/0459-1879-1992-1-1995-708

SYMMETRIC BIFURCATION OF STOKES WATER WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(1): 32-39. DOI: 10.6052/0459-1879-1992-1-1995-708

Citation:

SYMMETRIC BIFURCATION OF STOKES WATER WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(1): 32-39. DOI: 10.6052/0459-1879-1992-1-1995-708

Citation:

SYMMETRIC BIFURCATION OF STOKES WATER WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(1): 32-39. DOI: 10.6052/0459-1879-1992-1-1995-708

SYMMETRIC BIFURCATION OF STOKES WATER WAVES

Graphical Abstract

Graphical Abstract

Abstract

Abstract

Using the fourth-order Zakharov equation the theory of bifurcation by Sa-ffman & Yuen is extended to include the case where the modulation wavelength (p,q) = 0(1). Reasonable three-dimensional symmetrical wave patterns bifurcated from Stokes waves are obtained, and are in good agreement with those given by numerical results by Mclean (1982). Both critical amplitude and modulation wavelength are calculated. They are also close to the experimental data by Su (1981).