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

This note examines Gross-Pitaevskii equations with PT-symmetric potentials of the Wadati type: $V=-W^2+iW_x$. 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.

preprint2015arXivOpen access
I. V. BarashenkovD. A. ZezyulinV. V. Konotop
math-phmath.MPnlin.PSnlin.SI
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I. V. BarashenkovD. A. ZezyulinV. V. Konotop

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