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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Abstract

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 10.1111/j.1467-9590.2007.00390.x Q Science > QA Mathematics (inc Computing science) Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics Jing Ping Wang 23 Jun 2008 08:21 UTC 06 Feb 2020 04:00 UTC https://kar.kent.ac.uk/id/eprint/3369 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-6874-5629
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