A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
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 application of the inverse scattering transform solution method. If the method can be carried through, the solution of the original problem is recovered by setting the spectral parameter to zero.
Cite
@article{arxiv.nlin/0108042,
title = {A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod},
author = {Yaoming Shi and W. M. McClain and J. E. Hearst},
journal= {arXiv preprint arXiv:nlin/0108042},
year = {2007}
}
Comments
28 pages