Remarks on the eigenvalues of the Manakov system
We consider the Manakov system with L-1 potentials q(1) and q(2) and study conditions under which the set of eigen-values exhibits certain symmetry properties. In particular we obtain criteria which guarantee that the eigenvalues are located symmetrically with respect to the imaginary axis. We also obtain a best possible bound in terms of an integral involving the two potentials which ensures that no eigenvalues exist. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
manakov system coupled nonlinear schrodinger equation