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Group classification and conservation laws of two-dimensional shallow-water equations over an uneven bottonдоклад на конференции
- Авторы: Aksenov A.V., Druzhkov K.P.
- Международная Конференция : Diffieties, Cohomological Physics, and Other Animals, Alexandre Vinogradov Memorial Conference
- Даты проведения конференции: 13-17 декабря 2021
- Дата доклада: 15 декабря 2021
- Тип доклада: Устный
- Докладчик: не указан
- Место проведения: Независимый университет (Москва), МГУ им. М.В. Ломоносова, Russia
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Аннотация доклада:
A system of equations of two-dimensional shallow water over uneven bottom is considered. Overdetermined systems of equations for determining the symmetries and the conservation laws are obtained. The compatibilities of this overdetermined systems of equations are investigated. Symmetry operators and conservation laws are found. The results of the group classification have indicated that the system of equations of two-dimensional shallow water over uneven bottom cannot be linearized by point transformation in contrast to the system of equations of one-dimensional shallow water in the cases of horizontal and inclined bottom profiles.
- Добавил в систему: Аксенов Александр Васильевич