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Extending Hamiltonian operators to get bi-Hamiltonian coupled KdV systems

  • Wen-Xiu Ma
  • , Maxim Pavlov

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

An analysis of the extension of Hamiltonian operators from lower order to higher order of the matrix paves the way for constructing Hamiltonian pairs which may result in hereditary operators. Based on a specific choice of Hamiltonian operators of lower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a consequence of the bi-Hamiltonian structure, they all possess infinitely many symmetries and infinitely many conserved densities. © 1998 Elsevier Science B.V.
Original languageEnglish
Pages (from-to)511-522
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume246
Issue number6
DOIs
Publication statusPublished - 28 Sept 1998
Externally publishedYes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

The authors would like to thank the City University of Hong Kong and the Research Grants Council of Hong Kong for financial support.

RGC Funding Information

  • RGC-funded

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