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

I. V. Barashenkov; D. A. Zezyulin; V. V. Konotop

doi:10.1007/978-3-319-31356-6_9

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arXiv · 1511.06633

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

I. V. Barashenkov·D. A. Zezyulin·V. V. Konotop

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Abstract

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.

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I. V. Barashenkov, D. A. Zezyulin, V. V. Konotop. 2015-11-20. Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation. https://doi.org/10.1007/978-3-319-31356-6_9

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