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This article is cited in 13 scientific papers (total in 13 papers)
Conservation laws, differential identities, and constraints of partial differential equations
V. V. Zharinov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
We consider specific cohomological properties such as low-dimensional conservation laws and differential identities of systems of partial differential equations (PDEs). We show that such properties are inherent to complex systems such as evolution systems with constraints. The mathematical tools used here are the algebraic analysis of PDEs and cohomologies over differential algebras and modules.
Keywords:
differential algebra, conservation law, differential identity, differential constraint.
Received: 05.05.2015
Citation:
V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, TMF, 185:2 (2015), 227–251; Theoret. and Math. Phys., 185:2 (2015), 1557–1581
Linking options:
https://www.mathnet.ru/eng/tmf8960https://doi.org/10.4213/tmf8960 https://www.mathnet.ru/eng/tmf/v185/i2/p227
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Abstract page: | 699 | Full-text PDF : | 207 | References: | 56 | First page: | 71 |
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