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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 2, Pages 172–176
(Mi tmf1575)
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This article is cited in 7 scientific papers (total in 7 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.
Citation:
Radha Balakrishnan, “Space curve evolution, geometric phase and solitons”, TMF, 99:2 (1994), 172–176; Theoret. and Math. Phys., 99:2 (1994), 501–504
Linking options:
https://www.mathnet.ru/eng/tmf1575 https://www.mathnet.ru/eng/tmf/v99/i2/p172
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Abstract page: | 364 | Full-text PDF : | 137 | References: | 51 | First page: | 1 |
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