ar X iv : n lin / 0 50 80 34 v 1 [ nl in . P S ] 2 5 A ug 2 00 5 Instability of solitary waves on Euler ’ s elastica

  • Andrej T. Il’ichev
  • Published 2005

Abstract

Stability of solitary waves in a thin inextensible and unshearable rod of infinite length is studied. Solitary-wave profile of the elastica of such a rod without torsion has the form of a planar loop and its speed depends on a tension in the rod. The linear instability of a solitary-wave profile subject to perturbations escaping from the plane of the loop… (More)

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