20 citations · 25 across the 7 of their papers we have counts for
Showing nlin.SIShow all
3 papers · 1 filter
nlin.SI2007★ 2 cited
The Manakov system as two moving interacting curves
N. A. Kostov, R. Dandoloff, V. S. Gerdjikov +1
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 dens…
nlin.SI2006
An Exactly Solvable Case for a Thin Elastic Rod
Rossen Dandoloff, Georgi G. Grahovski
We present a new exact solution for the twist of an asymmetric thin elastic rods. The shape of such rods is described by the static Kirchhoff equations. In the case of constant cur…
nlin.SI2005
The Kirchhoff Rod as a XY Spin Chain Model
Rossen Dandoloff, Georgi Grahovski
A XY Heisenberg spin chain model with two perpendicular spins par site is mapped onto a Kirchhoff thin elastic rod. It is shown that in the case of constant curvature the Euler--La…