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

来源：

NON-HERMITIAN HAMILTONIANS IN QUANTUM PHYSICS | 2016年 / 184卷

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.

引用

页码：143 / 155

页数：13

共 29 条

[1] Dissipative periodic waves, solitons, and breathers of the nonlinear Schrodinger equation with complex potentials [J].