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A method for computing symmetries and conservation laws of integra-differential equations |
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| Authors: | V N Chetverikov A G Kudryavtsev |
| Institution: | (1) Department of Applied Mathematics, Moscow State Technical University, ud. 2-aja Bawnanskaja 5, 107005 Moscow, Russia;(2) Department of Theoretical Problems, Russian Academy of Sciences, ul. Vesnina 12, 121002 Moscow, Russia |
| 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. |
| Keywords: | 45K05 58A20 58G20 58G35 |
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