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Space curve evolution, geometric phase, and solitons

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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.

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Authors
  1. Radha Balakrishnan
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Additional information

The Institute of Mathematical Sciences, C.I.T. Campus, Madras 600 113, India. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 172–176, May, 1994.

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Balakrishnan, R. Space curve evolution, geometric phase, and solitons. Theor Math Phys 99, 501–504 (1994). https://doi.org/10.1007/BF01016130

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  • DOI: https://doi.org/10.1007/BF01016130

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