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Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation

Published 20 Nov 2015 in nlin.PS, math-ph, math.MP, and nlin.SI | (1511.06633v1)

Abstract: This note examines Gross-Pitaevskii equations with PT-symmetric potentials of the Wadati type: $V=-W2+iW_x$. 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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