A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations

V. N. Chetverikov and A. G. Kudryavtsev
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V. N. Chetverikov: Moscow State Technical University, Department of Applied Mathematics
A. G. Kudryavtsev: Russian Academy of Sciences, Department of Theoretical Problems

A chapter in Geometric and Algebraic Structures in Differential Equations, 1995, pp 45-56 from Springer

Abstract: 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: Invariant Solution; Collisionless Plasma; Cartan Form; Nonlocal Symmetry; Nonlinear Boltzmann Equation (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0179-7_4

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DOI: 10.1007/978-94-009-0179-7_4

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