Semiclassical solutions of the nonlinear schrödinger equation

Aleksandr Vasilievich Shapovalov, A. Yu Trifonov

Результат исследований: Материалы для журналаСтатьярецензирование

2 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
Число страниц12
ЖурналJournal of Nonlinear Mathematical Physics
Том6
Номер выпуска2
DOI
СостояниеОпубликовано - 1 янв 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Подробные сведения о темах исследования «Semiclassical solutions of the nonlinear schrödinger equation». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать