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nlin.PS2015★ 20 cited
Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation
I. V. Barashenkov, D. A. Zezyulin, V. V. Konotop
This note examines Gross-Pitaevskii equations with PT-symmetric potentials of the Wadati type: . We formulate a recipe for the construction of Wadati potentials suppor…
nlin.PS2015★ 5 cited
Localised nonlinear modes in the PT-symmetric double-delta well Gross-Pitaevskii equation
I. V. Barashenkov, D. A. Zezyulin
We construct exact localised solutions of the PT-symmetric Gross-Pitaevskii equation with an attractive cubic nonlinearity. The trapping potential has the form of two -function…
nlin.PS2015★ 5 cited
Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and symmetry
Dmitry A. Zezyulin, Vladimir V. Konotop
We consider nonlinear modes of the nonlinear Schrödinger equation with a nonlocal nonlinearity and an additional PT-symmetric parabolic potential. We show that there exists a set o…