English

An Exactly Solvable Case for a Thin Elastic Rod

Exactly Solvable and Integrable Systems 2007-05-23 v3 Pattern Formation and Solitons

Abstract

We present a new exact solution for the twist of an asymmetric thin elastic rods. The shape of such rods is described by the static Kirchhoff equations. In the case of constant curvatire and torsion the twist of the asymmetric rod represents a soliton lattice.

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Cite

@article{arxiv.nlin/0602025,
  title  = {An Exactly Solvable Case for a Thin Elastic Rod},
  author = {Rossen Dandoloff and Georgi G. Grahovski},
  journal= {arXiv preprint arXiv:nlin/0602025},
  year   = {2007}
}

Comments

6 pages, title changed, revised version