Abstract
We propose a new approach for studying the compatibility of partial differential equations. This approach is a synthesis of the Riquier method, Gröbner basis theory, and elements of algebraic geometry. As applications, we consider systems including the wave equation and the sine-Gordon equation.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 183, No. 3, pp. 342–358, June, 2015.
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Kaptsov, O.V. Local algebraic analysis of differential systems. Theor Math Phys 183, 740–755 (2015). https://doi.org/10.1007/s11232-015-0293-z
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DOI: https://doi.org/10.1007/s11232-015-0293-z