Abstract and Applied Analysis

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

Xiaolian Ai, Lingyu Jiang, and Ting Yi

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 876849, 8 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273202

Digital Object Identifier
doi:10.1155/2014/876849

Mathematical Reviews number (MathSciNet)
MR3176776

Zentralblatt MATH identifier
07023240

Citation

Ai, Xiaolian; Jiang, Lingyu; Yi, Ting. Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation. Abstr. Appl. Anal. 2014 (2014), Article ID 876849, 8 pages. doi:10.1155/2014/876849. https://projecteuclid.org/euclid.aaa/1412273202


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