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

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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.
28 pages

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80077

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0108042
 http://arxiv.org/abs/nlin/0108042

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arXiv