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Zhang Shuwen, Sun Fu, Guan Changlong. Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves[J]. Haiyang Xuebao, 1999, 21(4): 14-20.
Citation: Zhang Shuwen, Sun Fu, Guan Changlong. Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves[J]. Haiyang Xuebao, 1999, 21(4): 14-20.

Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves

  • Received Date: 1998-01-20
  • Rev Recd Date: 1998-06-15
  • Based upon honguet-Higgins's nonlinear model of randan sea waves,the joint statistical distribution of isotopic,surface slopes exact to the third-order is derived.It is shown that the joirn distribution of surface slopes has the form of truncated Gram-Charlier seties.The trtutcated terms are decided by the order of approximation to nonlinearity of sea waves.For each order appteuumatiorr,the coefficients in the series are modified comparatively to the cosesponding ones for the previous order apprardrnation.The distribution reduces to Gaussian if the effeM of nonlinear wave-wave couplinK tnteraction is excluded.
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