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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1994 Volume 99, Number 2, Pages 172–176 (Mi tmf1575)

This article is cited in 8 papers

Space curve evolution, geometric phase and solitons

Radha Balakrishnan

Institute of Mathematical Sciences

Abstract: Certain moving space curves are endowed with a geometric phase. This phase arises due to the path dependence of the rotation of an orthonormal triad (frame) defined at every point on the curve. In the present work we use the connection between moving curves and soliton dynamics to find the geometric phase associated with a class of soliton-supporting equations.

Language: English


 English version:
Theoretical and Mathematical Physics, 1994, 99:2, 501–504

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