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

Xiaolian Ai, Lingyu Jiang and Ting Yi

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/876849

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:876849

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