The Manakov system as two moving interacting curves

Details The Manakov system as two moving interacting curves The Manakov system as two moving interacting curves

2007-07-04

arxiv.org/abs/0707.0575v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

In the Proceedings of the International Workshop "Complex structures and vector fields", August 21--26, 2006, Sofia, Bulgaria.

Scientific paper

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.

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