The KdV Equation and Motion of Plane Curves

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概要

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• It is shown that the KdV, Harry Dym, Sawada-Kotera hierarchies and the Kaup-Kupershmidt equation naturally arise from the motions of plane curves in special linear geometry SL(2). Motions of the curves corresponding to traveling waves as well as one- and two-solitons are investigated.

• Physical Society of Japanの論文
• 2001-07-15

著者

• Qu Changzheng

  Department Of Mathematics Northwest University

• Chou Kai-seng

  Department Of Mathematics The Chinese University Of Hong Kong

• Qu Changzheng

  Department of Mathematics, Northwest University, Xi'an, 710069, P. R. China

• Chou Kai-Seng

  Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, P. R. China

関連論文

• New Exact Solutions to the Fujita's Equation : General Physics
• Geometric Motions of Surfaces and 2 + 1-Dimensional Integrable Equations
• The Curve Shortening Flow : The Classical Approach (Free Boundary Problems)
• The KdV Equation and Motion of Plane Curves

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