UNIVERSITY OF COLORADO COLORADO SPRINGS

COLLEGE OF ENGINEERING AND APPLIED SCIENCE

UCCS CAMPUS MAP

DRIVING DIRECTIONS

Soliton solutions relative to arbitrary backgrounds for the NLS
equation and the Manakov system
 

Radu Cascaval

Department of Mathematics

University of Colorado at Colorado Springs

The construction of soliton solutions relative to arbitrary backgrounds of the NLS hierarchy is related to the addition of eigenvalues to the spectrum of the background Lax operator via Darboux transformations.  We will discuss the generalization of this construction for the Manakov system. In nonlinear optics the Manakov system (coupled NLS) appears as a model for wave propagation in optical fibers in the presence of birefringence effects. The linear and nonlinear stability of these solutions will be addressed.