The Manakov system as two moving interacting curves
Exactly Solvable and Integrable Systems
2007-07-05 v1
Abstract
The two time-dependent Schrodinger equations in a potential V(s,u), denoting time, can be interpreted geometrically as a moving interacting curves whose Fermi-Walker phase density is given by -dV/ds. The Manakov model appears as two moving interacting curves using extended da Rios system and two Hasimoto transformations.
Cite
@article{arxiv.0707.0575,
title = {The Manakov system as two moving interacting curves},
author = {N. A. Kostov and R. Dandoloff and V. S. Gerdjikov and G. G. Grahovski},
journal= {arXiv preprint arXiv:0707.0575},
year = {2007}
}
Comments
In the Proceedings of the International Workshop "Complex structures and vector fields", August 21--26, 2006, Sofia, Bulgaria. Eds.: K. Sekigawa, S. Dimiev. World Scientific (2007)