Solutions of the Gross-Pitaevskii equation in prolate spheroidal coordinates / A. V. Borisov, A. V. Shapovalov
Уровень набора: Russian Physics Journal, Scientific Journal = 1965-Язык: английский.Резюме или реферат: With the help of the method of similarity transformations, an approach is considered that makes it possible to find particular solutions of the Gross-Pitaevskii equation with a nonstationary coefficient of nonlinearity in prolate spheroidal coordinates. Two exact solutions are found in explicit form, having soliton properties, along with the corresponding potentials. The form of the solutions is illustrated by examples..Примечания о наличии в документе библиографии/указателя: [References: p. 1208-1209 (18 tit.)].Аудитория: .Тематика: электронный ресурс | труды учёных ТПУ | уравнения Гросса-Питаевского Ресурсы он-лайн:Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References: p. 1208-1209 (18 tit.)]
With the help of the method of similarity transformations, an approach is considered that makes it possible to find particular solutions of the Gross-Pitaevskii equation with a nonstationary coefficient of nonlinearity in prolate spheroidal coordinates. Two exact solutions are found in explicit form, having soliton properties, along with the corresponding potentials. The form of the solutions is illustrated by examples.
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