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Symmetry Structure of Integrable Nonevolutionary Equations

Novikov, Vladimir S., Wang, Jing Ping (2007) Symmetry Structure of Integrable Nonevolutionary Equations. Studies in Applied Mathematics, 119 (4). pp. 393-428. ISSN 0022-2526. (doi:10.1111/j.1467-9590.2007.00390.x) (KAR id:3369)

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We study a class of evolutionary partial differential systems with two components related to second order (in time) nonevolutionary equations of odd order in spatial variable. We develop the formal diagonalization method in symbolic representation, which enables us to derive an explicit set of necessary conditions of existence of higher symmetries. Using these conditions we globally classify all such homogeneous integrable systems, i.e., systems which possess a hierarchy of infinitely many higher symmetries.

Item Type: Article
DOI/Identification number: 10.1111/j.1467-9590.2007.00390.x
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Jing Ping Wang
Date Deposited: 23 Jun 2008 08:21 UTC
Last Modified: 16 Feb 2021 12:15 UTC
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