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On Integrability of Mathematical Physics Equationsстатья
- Автор: Petrova L.I.
- Сборник: Novel Research Aspects in Mathematical and Computer Science
- Серия: https://doi.org/10.9734/bpi/nramcs/v4/2161A
- Том: 4
- Глава в коллективной монографии
- Год издания: 2022
- Место издания: B P International Book Publisher International 27 Old Gloucester Street London WC1N 3AX, UK
- Первая страница: 1
- Последняя страница: 7
- Аннотация: A study of differential equations has shown that the integrability of mathematical physics equa-tions depends on the consistency of the derivati- ves of described functions and equations that form the equations of mathematical physics. Shown, that on the original coordinate space the differential equation turns out to be non-integrable. However, if there are any degrees of freedom, then integ-rable structures, on which the derivatives of a differential equation form a differential, are realized. That is, discrete functions are the solution to the equations of mathematical physics on integrable structures. This indicates to the differential equation integrability.
- Добавил в систему: Петрова Людмила Ивановна