The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy

The bi-Hamiltonian structure is established for the perturbation equations of the KdV hierarchy and the perturbation equations themselves also provide examples among typical soliton equations. Besides, a more general bi-Hamiltonian integrable hierarchy is proposed and a remark is given for a general...

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Bibliographic Details
Published inPhysics letters. A Vol. 213; no. 1; pp. 49 - 55
Main Authors Ma, W.X., Fuchssteiner, B.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.04.1996
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Summary:The bi-Hamiltonian structure is established for the perturbation equations of the KdV hierarchy and the perturbation equations themselves also provide examples among typical soliton equations. Besides, a more general bi-Hamiltonian integrable hierarchy is proposed and a remark is given for a generalization of the resulting perturbation equations to 1 + 2 dimensions.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(96)00112-0