A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod
Yaoming Shi, W. M. McClain, J. E. Hearst
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.
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