2001/12/03 by Yaoming Shi, Shi, Yaoming, W. M. McClain +3
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #DNA and Nucleic Acid Chemistry #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0112004
19 pages
arxiv created 2001/12/03 · openalex publication_date 2001/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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.