cahtНаучный вестник МГТУ ГАCivil Aviation High Technologies2079-06192542-0119Moscow State Technical University of Civil Aviation (MSTU CA)caht-858Research ArticleСтатьиКОНТАКТНЫЕ ИНТЕГРИРУЕМЫЕ РАСШИРЕНИЯ ГРУППЫ ПСЕВДОСИММЕТРИЙ И НАКРЫТИЯ R-го ДВАЖДЫ МОДИФИЦИРОВАННОГО БЕЗДИСПЕРСИОННОГОУРАВНЕНИЯ КАДОМЦЕВА - ПЕТВИАШВИЛИCONTACT INTEGRABLE EXTENSIONS OF SYMMETRY PSEUDO-GROUP AND COVERINGS FOR THE R-th DOUBLE MODIFIED DISPERSIONLESS KADOMTSEV-PETVIASHVILI EQUATIONМорозовО. И.MorozovO. I.

член Московского математического общества, доктор физико-математических наук, профессор кафедры высшей математики

oimorozov@gmail.comПавловМ. В.PavlovM. V.

кандидат физико-математических наук, ведущий научный сотрудник

maksmath@gmail.comМГТУ ГАRussian FederationНовосибирский Государственный УниверситетRussian Federation201627122016022497106Copyright © Морозов О.И., Павлов М.В., 20162016Морозов О.И., Павлов М.В.Morozov O.I., Pavlov M.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://avia.mstuca.ru/jour/article/view/858

Найдены контактные интегрируемые расширения группы псевдосимметрий и накрытия r-того дважды модифицированного бездисперсионного уравнения Кадомцева - Петвиашвили. Одно из накрытий приводит к преобразованию Бэклунда и оператору рекурсии для исследуемых уравнений.

We find contact integrable extensions and coverings for the r-th double modified dispersionless Kadomtsev-Petviashvili law equation. One of the coverings provides a Bäcklund auto-transformation and a recursion operator for the equation under the study.

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The authors declare that there are no conflicts of interest present.