EXTENDING HAMILTONIAN OPERATORS TO GET BI-HAMILTONIAN COUPLED KDV SYSTEMS

Authors
MA WX PAVLOV M
Citation
Wx. Ma et M. Pavlov, EXTENDING HAMILTONIAN OPERATORS TO GET BI-HAMILTONIAN COUPLED KDV SYSTEMS, Physics letters. A, 246(6), 1998, pp. 511-522
Citations number
18
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
246
Issue
6
Year of publication
1998
Pages
511 - 522
Database
ISI
SICI code
0375-9601(1998)246:6<511:EHOTGB>2.0.ZU;2-Y
Abstract
An analysis of the extension of Hamiltonian operators from lower order to higher order of the matrix paves the way for constructing Hamilton ian pairs which may result in hereditary operators. Based on a specifi c choice of Hamiltonian operators of lower order, new local bi-Hamilto nian coupled KdV systems are proposed. As a consequence of the bi-Hami ltonian structure, they all possess infinitely many symmetries and inf initely many conserved densities. (C) 1998 Elsevier Science B.V.