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- W85817448 abstract "We show that the following geometric properties of the motion of discrete and continuous curves select integrable dynamics: i) the motion of the curve takes place in the N dimensional sphere of radius R, ii) the curve does not stretch during the motion, iii) the equations of the dynamics do not depend explicitly on the radius of the sphere. Well known examples of integrable evolution equations, like the nonlinear Schroedinger and the sine-Gordon equations, as well as their discrete analogues, are derived in this general framework." @default.
- W85817448 created "2016-06-24" @default.
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- W85817448 date "1994-12-30" @default.
- W85817448 modified "2023-09-27" @default.
- W85817448 title "The Integrable Dynamics of Discrete and Continuous Curves" @default.
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