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Wave‐Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic‐Rod Equation

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  • Xiaolian Ai
  • Lingyu Jiang
  • Ting Yi

Abstract

Consideration in this paper is the Cauchy problem of a generalized hyperelastic‐rod wave equation. We first derive a wave‐breaking mechanism for strong solutions, which occurs in finite time for certain initial profiles. In addition, we determine the existence of some new peaked solitary wave solutions.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:876849
DOI: 10.1155/2014/876849
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