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ON DISCONTINUOUS PERIODIC SOLUTION AND DISCONTINUOUS SOLITARY WAVE OF TWO-DIMENSION SHALLOW WATER EQUATION
作者姓名:黄思训
作者单位:Meteorological Institute
摘    要:In this papepr we discues discomunucus peridic solution and discontinuous solitarywave of the shallow water model of geophysical fiuid dynamics.When we consider theproperties of vajeciory necr non一epuiulmium nom point.i.e.singular we fund that if weintraduce the concept of gendralized solution smoothing continuous solution),then the system will produce discontinueus periodle solution and the condition ofdiscontinuous periodic solution can be obtahed When the system is dagenerated.we findthat the discontinucus solitary wave is existent in the system. In this paper we consider aserdes of problems and obtain analyvic expression of discontinuous solution.This result iscompared with squall lime in the anmosphere, and both of them have many thing in common.

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