Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation
Abstract
This note examines Gross-Pitaevskii equations with PT-symmetric potentials of the Wadati type: V=-W2+iWx. We formulate a recipe for the construction of Wadati potentials supporting exact localised solutions. The general procedure is exemplified by equations with attractive and repulsive cubic nonlinearity bearing a variety of bright and dark solitons.
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