Mikhailov, A.V. and Novikov, V.S. and Wang, J.Z. (2007) On classification of integrable nonevolutionary equations. Studies in Applied Mathematics, 118 (4). pp. 419-457. ISSN 0022-2526 .
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We study partial differential equations of second order (in time) that possess a hierarchy of infinitely many higher symmetries. The famous Boussinesq equation is a member of this class after the extension of the differential polynomial ring. We develop the perturbative symmetry approach in symbolic representation. Applying it, we classify the homogeneous integrable equations of fourth and sixth order (in the space derivative) equations, as well as we have found three new tenth-order integrable equations. To prove the integrability we provide the corresponding bi-Hamiltonian structures and recursion operators.
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Engineering and Digital Arts > Broadband & Wireless Communications|
|Depositing User:||Suzanne Duffy|
|Date Deposited:||31 Mar 2008 18:17|
|Last Modified:||11 Jan 2012 10:40|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/2605 (The current URI for this page, for reference purposes)|
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