2 papers
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.SI2000
Reductions and real forms of Hamiltonian systems related to N-wave type equations
V. S. Gerdjikov, G. G. Grahovski
Reductions of N-wave type equations related to simple Lie algebras and the hierarchy of their Hamiltonian structures are studied. The reduction group G_R is realized as a subgroup…