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On order reduction of non-linear equations of mechanics and mathematical physics, new integrable equations and exact solutionsстатья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 4 января 2018 г.
- Авторы: Polyanin A.D., Zhurov A.I.
- Журнал: International Journal of Non-Linear Mechanics
- Том: 47
- Номер: 5
- Год издания: 2012
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 413
- Последняя страница: 417
- DOI: 10.1016/j.ijnonlinmec.2011.04.032
- Аннотация: Some classes of non-linear equations of mechanics and mathematical physics are described that admit order reduction through the use of a hydrodynamic-type transformation, where a first-order partial derivative is taken as a new independent variable and a second-order partial derivative is taken as the new dependent variable. The results obtained are used for order reduction of hydrodynamic equations (Navier-Stokes, Euler, and boundary layer) and deriving exact solutions to these equations. Associated Backlund transformations are constructed for evolution equations of general form (special cases include Burgers, Korteweg-de Vries, and many other non-linear equations of mathematical physics). A number of new integrable non-linear equations, inclusive of the generalized Calogero equation, are considered.
- Добавил в систему: Левитин Александр Леонидович