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We consider quadratic bundles related to Hermitian symmetric spaces of thetype SU(m+n)/S(U(m)x U(n)). The simplest representative of the correspondingintegrable hierarchy is given by a multi-component Kaup-Newell derivativenonlinear Schroedinger equation which serves as a motivational example for ourgeneral considerations. We extensively discuss how one can applyZakharov-Shabat's dressing procedure to derive reflectionless potentialsobeying zero boundary conditions. Those could be used for one to construct fastdecaying solutions to any nonlinear equation belonging to the same hierarchy.One can distinguish between generic soliton type solutions and rationalsolutions.

Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions