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

(2) Dept. of Chemistry; Berkeley; Detroit); J. E. Hearst (1) ((1) Dept. of Chemistry; University of California; Wayne State University; W. M. McClain (2); Yaoming Shi (1)

arxiv: nlin/0108042 · v1 · submitted 2001-08-23 · 🌊 nlin.SI

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

Yaoming Shi (1) , W. M. McClain (2) , J. E. Hearst (1) ((1) Dept. of Chemistry , University of California , Berkeley , (2) Dept. of Chemistry , Wayne State University , Detroit) This is my paper

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keywords elasticmethodpairparametersolutionspectralapplicationassures

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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.

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

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