A correction of the 2D KdV equation of Djordjevic & Redekopp in exponentially stratified fluid  

作　　者：Zhaoting Xu Guojin Shen Samuel Shan-pu Shen 

机构地区：[1]Institute Of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China [2]Department of Mathematics and Statistics Science, University of Alberta, Edmonton, Alberta T6G 2G 1, Canada

出　　处：《Acta Mechanica Sinica》2005年第4期346-352,共7页力学学报（英文版）

基　　金：The project supported by the National Natural Science Foundation of China(40276008);the Grant of Key Laboratory of Marine Science and Numerical Modeling.SOA(0201(2003))

摘　　要：To further study the nal solitons on the continental fission laws of initial intershelf/slope, we rederive and correct the 2D KdV equation of Djordjevic ＆ Redekopp for exponentially stratified fluid （or ocean） and with twodimensional topography. Through a combination of theoretical study and numerical experiments, we show that solitons in the odd vertical modes can fission. However, because of the corrections, the fission conditions are different from those of Djordjevic ＆ Redekopp. The even modes cannot fission unless the initial internal solitons propagate from shallow sea to deep sea. This conclusion is entirely opposite to that of Djordjevic ＆ Redekopp.To further study the nal solitons on the continental fission laws of initial intershelf/slope, we rederive and correct the 2D KdV equation of Djordjevic ＆ Redekopp for exponentially stratified fluid （or ocean） and with twodimensional topography. Through a combination of theoretical study and numerical experiments, we show that solitons in the odd vertical modes can fission. However, because of the corrections, the fission conditions are different from those of Djordjevic ＆ Redekopp. The even modes cannot fission unless the initial internal solitons propagate from shallow sea to deep sea. This conclusion is entirely opposite to that of Djordjevic ＆ Redekopp.

关 键 词：Internal wave SOLITON FISSION 2D KdV equation 

分 类 号：O357.1[理学—流体力学]