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Lie symmetry analysis of nonlinear evolution equation for description nonlinear waves in a viscoelastic tube

Analysis of PDEs 2012-01-11 v2

Abstract

In this paper, the Lie symmetry method is performed for the nonlinear evolution equation for description nonlinear waves in a viscoelastic tube. we will find one and two-dimensional optimal system of Lie subalgebras. Furthermore, preliminary classification of its group-invariant solutions are investigated.

Keywords

Cite

@article{arxiv.1105.0625,
  title  = {Lie symmetry analysis of nonlinear evolution equation for description nonlinear waves in a viscoelastic tube},
  author = {Mehdi Nadjafikhah and Vahid Shirvani-Sh},
  journal= {arXiv preprint arXiv:1105.0625},
  year   = {2012}
}

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9 pages