A method for computing symmetries and conservation laws of integro-differential equations
type: Item
instance of: scholarly article
title: A method for computing symmetries and conservation laws of integro-differential equations
zbMATH Open document ID: 0845.65072
DOI: 10.1007/BF00996105
author: A. G. Kudryavtsev
author: Vladimir N. Chetverikov
published in: Acta Applicandae Mathematicae
publication date: 1996-09-09T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 824521
zbMATH Keywords: symmetries
zbMATH Keywords: conservation laws
zbMATH Keywords: integro-differential equations
zbMATH Keywords: Smoluchowski's coagulation equation
reviewed by: Stanislav Míka
MaRDI profile type: Publication
cites work: Q3945260
cites work: Q3223508
cites work: Q3715336
cites work: Local symmetries and conservation laws
cites work: Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
cites work: Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas
cites work: Q4007219
cites work: Q3210982
cites work: Q4854360
cites work: The Uniform Motion Equivalent to a Uniformly Accelerated Motion from Rest (Galileo Gleanings XX)
full work available at URL: https://doi.org/10.1007/bf00996105
OpenAlex ID: W4249405302
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description: scientific article; zbMATH DE number 824521