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A correction on two dimensional KdV equation with topography
作者姓名:XU Zhaoting  Efim PELINOVSKY  SHEN Guojin  Tapiana TALIPOVA
作者单位:Institute of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China,Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, Russia,Institute of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China,Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, Russia
基金项目:国家自然科学基金,Foundation of China-Russia Collaboration of OUC,fund of Key Laboratory of Marine Science and Numerical Modeling
摘    要:The correction on the 2D KdV equation derived by Djordjevic and Redekopp is presented. A lapsus calami in the 2D KdV equation is removed by means of the conservation principle of the energy flux in a wave ray tube. The results show that the coefficient of the third term in the inhomogeneous term of 2D KdV equation in the paper of Djordjevic and Redekopp is 2, instead of 3.

关 键 词:2D  KdV  equation    soliton    wave  ray  tube    correction

A correction on two dimensional KdV equation with topography
XU Zhaoting,Efim PELINOVSKY,SHEN Guojin,Tapiana TALIPOVA.A correction on two dimensional KdV equation with topography[J].Progress in Natural Science,2004,14(7):646-648.
Authors:Xu Zhaoting  Efim PELINOVSKY  SHEN Guojin  Tapiana TALIPOVA
Institution:1. Institute of Physical Oceanography and Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China
2. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, Russia
Abstract:The correction on the 2D KdV equation derived by Djordjevic and Redekopp is presented. A lapsus calami in the 2D KdV equation is removed by means of the conservation principle of the energy flux in a wave ray tube. The results show that the coefficient of the third term in the inhomogeneous term of 2D KdV equation in the paper of Djordjevic and Redekopp is 2, instead of 3.
Keywords:2D KdV equation  soliton  wave ray tube  correction
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