Abstract
The localized induction hierarchy in three-dimensional space forms is studied. In particular, we determine all the generating curves of congruence solutions to each evolution equation belonging to the localized induction hierarchy. Here, a congruence solution means a solution moving without changing shape. Also, we give the characterization of some low-order soliton curves.
Citation
Satoshi Kawakubo. "Congruence solutions to the localized induction hierarchy in three-dimensional space forms." Osaka J. Math. 50 (4) 921 - 945, December 2013.
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