Geometric Motions of Surfaces and 2 + 1-Dimensional Integrable Equations

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概要

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• It is shown that the determining system for motions of surfaces can be reduced to seven equations with nine unknown quantities. By choosing the velocities suitably, Gauss curvature or the volume form of the surface is shown to satisfy some (2 + 1)-integrable equations including the Kadomtev-Petviashvili, modified Kadomtev-Petviashvili, Nizhnik-Veselov-Novikov, (2 + 1)-Sawada-Kotera, (2 + 1)-Kaup-Kupershmidt equations and the 2D-Euler equation.

• 社団法人日本物理学会の論文
• 2002-04-15

著者

• Chou K‐s

  Department Of Mathematics The Chinese University Of Hong Kong

• Qu Changzheng

  Department Of Mathematics Northwest University

• CHOU Kai-Seng

  Department of Mathematics, The Chinese University of Hong Kong

• Chou Kai-seng

  Department Of Mathematics The Chinese University Of Hong Kong

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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