Negative Volterra Flows and Mixed Volterra Flows and Their Infinitely Many Conservation Laws

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dc.creatorZhu, Zuo-nong
dc.creatorTam, Hon-Wah
dc.date2003-04-10
dc.date.accessioned2026-07-07T05:34:40Z
dc.date.available2026-07-07T05:34:40Z
dc.descriptionIn this article, by means of considering an isospectral operator equation which corresponds to the Volterra lattice, and constructing opportune time evolution problems with negative powers of spectral parameter, and using discrete zero curvature representation, negative Volterra flows are proposed. We also propose the mixed Volterra flows, which come from positive and negative volterra flows. From the Lax representation, we demonstrate the existence of infinitely many conservation laws for the two flows and give the corresponding conserved densities and the associated fluxes formulaically. Thus their integrability is further confirmed.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/nlin/0304015
dc.identifierhttp://arxiv.org/abs/nlin/0304015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80455
dc.subjectExactly Solvable and Integrable Systems
dc.titleNegative Volterra Flows and Mixed Volterra Flows and Their Infinitely Many Conservation Laws
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