Stationary solutions of the Gross-Pitaevskii equation without linear counterpart
Abstract
We propose a method to find a general class of multi-soliton stationary solutions of the one-dimensional Gross-Pitaevskii equation in presence of a multi-stable external potential. In the case of a symmetric double well, we explicitly discuss the zero-, one-, and two-soliton states. These solutions generally break the symmetry of the external potential and do not have linear counterpart, i.e. do not reduce, in the limit of vanishing nonlinearity, to any of the eigenstates of the associated Schroedinger equation.Keywords
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