Semiclassical solutions of the nonlinear schrödinger equation

Результат исследования: Материалы для журналаСтатья

1 Цитирования (Scopus)

Аннотация

A concept of semiclassically concentrated solutions is formulated for the multidimensional nonlinear Schrödinger equation (NLSE) with an external field. These solutions are considered as multidimensional solitary waves. The center of mass of such a solution is shown to move along with the bicharacteristics of the basic symbol of the corresponding linear Schrödinger equation. The leading term of the asymptotic WKBsolution is constructed for the multidimensional NLSE. Special cases are considered for the standard one-dimensional NLSE and for NLSE in cylindrical coordinates.

Язык оригиналаАнглийский
Страницы (с... по...)127-138
Количество страниц12
ЖурналJournal of Nonlinear Mathematical Physics
Том6
Номер выпуска2
DOI
Статус публикацииОпубликовано - 1 янв 1999

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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