ON NONLINEAR WAVES IN THE GROWTH PROCESS

来源 :Science in China,Ser.B | 被引量 : 0次 | 上传用户:guoerxong
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Having included the growth mechanism of coupling wind-generated waves into the Stokes’ equa-tions, the growth evolution equation of nonlinear wind-generated waves in the wavenumber space andthe governing equation for narrow band spectrum condition in the physical space, the generalized Schro-dinger equations are deduced in this paper. From the discrete type of the growth evolution equa-tion, the analytical expressions of a nonlinear single wave from growing to tending towards equilibriumstate are given in this study. The unstable features of adjacent frequencies of this wave under a quiteseparate condition of evolution time scale and growth time scale are further analyzed. Having included the growth mechanism of coupling wind-generated waves into the Stokes’ equa-tions, the growth evolution equation of nonlinear wind-generated waves in the wavenumber space and the governing equation for narrow band spectrum conditions in the physical space, the generalized Schro- From the discrete type of the growth evolution equa-tion, the analytical expressions of a nonlinear single wave from growing to tending towards equilibrium state are given in this study. The unstable features of adjacent frequencies of this wave under a quiteseparate condition of evolution time scale and growth time scale are further analyzed.
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