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nlin.SI2003
A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: III. Discretizatioon of Arc Length and Time
Yaoming Shi, W. M. McClain, J. E. Hearst
We find a Lax pair for the geometrically exact discrete Hamiltonian equations for the discrete elastic rod. This is paper III of a series.
nlin.SI2001
A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: II. Discretization of the Arc Length
Yaoming Shi, W. M. McClain, J. E. Hearst
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 solu…
nlin.SI2001
A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod
Yaoming Shi, W. M. McClain, J. E. Hearst
We introduce a spectral parameter into the geometrically exact Hamiltonian equations for the elastic rod in a way that creates a Lax pair. This assures integrability and permits ap…