Optical solitons and stability analysis with coupled nonlinear schrodinger’s equations having double external potentials

摘要: Abstract We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type, with linear mixing and cross-phase modulation. Motivated by study matter waves in Bose-Einstein condensates multicomponent (vectorial) optical systems, we investigate eigenvalue problem CNLSE double external potentials a self-defocusig Kerr medium. For this system, obtain different kinds wave structures induced two injected beams, physical relevance optics condensation. Exact solutions are found extended unified method. The stability these is analyzed through formulation an problem. spectral constructed perturbing frequency stationary linearizing resulting equations near (or steady) states. Our may simulate experimental work on multiple laser beams medium Kerr-type nonlinearity.