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Hidden Properties of Mathematical Physics Equations. Double Solutions. The Realization of Integrable Structures. Emergence of Physical Structures and Observable Formationsстатья
- Автор: Petrova L.I.
- Журнал: Journal of Applied Mathematics and Physics
- Том: 8
- Номер: 7
- Год издания: 2020
- Издательство: Scientific Research Publishing
- Местоположение издательства: United States
- Первая страница: 1255
- Последняя страница: 1262
- DOI: 10.4236/jamp.2020.87094
- Аннотация: With the help of skew-symmetric differential forms the hidden properties of the mathematical physics equations are revealed. It is shown that the equations of mathematical physics can describe the emergence of various structures and formations such as waves, vortices, turbulent pulsations and others. Such properties of the mathematical physics equations depend on the consistency of derivatives in partial differential equations and on the consistency of equations, if the equations of mathematical physics are a set of equations. Only mathematical physics equations, on what no additional conditions such as the integrability conditions are imposed, can possess such properties.
- Добавил в систему: Петрова Людмила Ивановна