Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation

被引:20
|
作者
Barashenkov, I. V. [1 ,2 ]
Zezyulin, D. A. [3 ,4 ]
Konotop, V. V. [3 ,4 ]
机构
[1] Natl Inst Theoret Phys, Stellenbosch, Western Cape, South Africa
[2] Univ Cape Town, Dept Math, ZA-7701 Cape Town, South Africa
[3] Univ Lisbon, Fac Ciencias, Ctr Fis Teor & Computac, Edificio C8, P-1749016 Lisbon, Portugal
[4] Univ Lisbon, Fac Ciencias, Dept Fis, Edificio C8, P-1749016 Lisbon, Portugal
关键词
SCATTERING; BUBBLES; MODES;
D O I
10.1007/978-3-319-31356-6_9
中图分类号
O59 [应用物理学];
学科分类号
摘要
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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页码:143 / 155
页数:13
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