Structure properties and Noether symmetries for super-long elastic slender rod |
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Authors: | Fu Jing-Li Zhao Wei-Jia and Weng Yu-Quan |
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Institution: | Department of Mathematics, Qingdao University, Qingdao 266071, China; Institute of Mathematical Physics, Zhejiang
Sci-Tech University, Hangzhou 310018, China |
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Abstract: | DNA is a nucleic acid molecule with double-helical structures that
are special symmetrical structures attracting great attention of
numerous researchers. The super-long elastic slender rod, an
important structural model of DNA and other long-train molecules, is
a useful tool in analysing the symmetrical properties and the
stabilities of DNA. This paper studies the structural properties of a
super-long elastic slender rod as a structural model of DNA by using
Kirchhoff's analogue technique and presents the Noether symmetries of
the model by using the method of infinitesimal transformation. Based
on Kirchhoff's analogue it analyses the generalized Hamilton
canonical equations. The infinitesimal transformations with respect
to the radial coordinate, the generalized coordinates, and the
quasi-momenta of the model are introduced. The Noether symmetries and
conserved quantities of the model are obtained. |
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Keywords: | super-long elastic slender rod Kirchhoff's analogue Noether symmetry conserved quantity |
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