Автор(ы): Морозов О. И. (ИПУ РАН, Лаборатория 06)Lelito A. (AGH UST)Автор(ов): 2 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Invariant solutions of the Khokhlov–Zabolotskaya singular manifold equation and their applicationISBN/ISSN: 0034-4877DOI: https://www.sciencedirect.com/journal/reports-on-mathematical-phНаименование источника: Reports on mathematical physicsОбозначение и номер тома: Vol. 81Город: OxfordИздательство: PERGAMON-ELSEVIER SCIENCE LTDГод издания: 2018Страницы: 65-79 АннотацияWe find the Lie algebra of point symmetries for the singular manifold equation associated with the Khokhlov–Zabolotskaya equation (KhZ), classify one-dimensional subalgebras of this algebra, and find corresponding invariant solutions. Then we use the Backlund transformation between the singular manifold equation and KhZ to find new exact solutions to the last equation. Библиографическая ссылка: Морозов О.И., Lelito A. Invariant solutions of the Khokhlov–Zabolotskaya singular manifold equation and their application // Reports on mathematical physics. 2018. Vol. 81. С. 65-79.
