A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: II. Discretization of the Arc Length

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dc.creatorShi, Yaoming
dc.creatorMcClain, W. M.
dc.creatorHearst, J. E.
dc.date2001-12-03
dc.date.accessioned2026-07-07T05:33:47Z
dc.date.available2026-07-07T05:33:47Z
dc.descriptionIn previous work, the dynamics of the elastic rod was recast in a Lax pair formulation, with fiducial arc length s and time t as continuous independent variables. However, the solution of these equations cannot apply directly to a system where the fiducial arc length s is a discrete variable. In this paper, we show how to discretize the continuous s variable in a way that preserves the integrability of the original system. The t parameter is not discretized, so this algorithm will be especially useful for solutions of the s-discrete and t-continuous elastic rod problem, as may occur in problems where the polymeric structure of the DNA is made explicit.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/nlin/0112004
dc.identifierhttp://arxiv.org/abs/nlin/0112004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80126
dc.subjectExactly Solvable and Integrable Systems
dc.titleA Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: II. Discretization of the Arc Length
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