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FOLIATION ON A SURFACE OF CONSTANT CURVATURE AND SOME NONLINEAR EVOLUTION EQUATIONS
作者姓名:Tian  chou
作者单位:Department of
摘    要:In this paper,the author explains the solutions of Sine-Gordon equation and KdVequation as the geodesic curvature of the leaves of a foliation on a surface of constantcurvature and negative constant curvature respectively.Therefore,a question which wasasked in a paper of S.S.Chern and K.Tenenblat is answered.

收稿时间:1985/5/29 0:00:00
修稿时间:1985/11/29 0:00:00

FOLIATION ON A SURFACE OF CONSTANT CURVATURE AND SOME NONLINEAR EVOLUTION EQUATIONS
Tian chou.FOLIATION ON A SURFACE OF CONSTANT CURVATURE AND SOME NONLINEAR EVOLUTION EQUATIONS[J].Chinese Annals of Mathematics,Series B,1988,9(1):118-122.
Authors:Tian chou
Institution:Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China.
Abstract:In this paper, the author explains the solutions of Sine-Gordon equation and KdV equation as the geodesic curvature of the leaves of a foliation on a surface of constant curvature and negative constant curvature respectively. Therefore, a question which was asked in a paper of S. S. Chern and K.Tenenblat is answered.
Keywords:
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