Abstract
A method for computing symmetries and conservation laws of integro-differential equations is proposed. It resides in reducing an integro-differential equation to a system of boundary differential equations and in computing symmetries and conservation laws of this system. A geometry of boundary differential equations is constructed like the differential case. Results of the computation for the Smoluchowski’s coagulation equation are given.
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Chetverikov, V.N., Kudryavtsev, A.G. (1995). A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations. In: Kersten, P.H.M., Krasil’Shchik, I.S. (eds) Geometric and Algebraic Structures in Differential Equations. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0179-7_4
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DOI: https://doi.org/10.1007/978-94-009-0179-7_4
Publisher Name: Springer, Dordrecht
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