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, 1-8

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:876849

DOI: 10.1155/2014/876849

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