A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod

Details A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod

2001-08-23

arxiv.org/abs/nlin/0108042v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages

Scientific paper

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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