The Manakov system as two moving interacting curves
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The two time-dependent Schrodinger equations in a potential V(s,u), $u$ 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.
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)
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)