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2014 Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation
Xiaolian Ai, Lingyu Jiang, Ting Yi
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/876849

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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Xiaolian Ai. Lingyu Jiang. Ting Yi. "Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/876849

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023240
MathSciNet: MR3176776
Digital Object Identifier: 10.1155/2014/876849

Rights: Copyright © 2014 Hindawi

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