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

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 soluti...

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Main Authors:	Xiaolian Ai, Lingyu Jiang, Ting Yi
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/876849

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spelling	doaj-039f27496a98496e8b8dd5bdcc5da93b2020-11-24T21:24:35ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/876849876849Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod EquationXiaolian Ai0Lingyu Jiang1Ting Yi2Department of Mathematics, Northwest University, Xi’an 710069, ChinaDepartment of Mathematics, Central University of Finance and Economics, Beijing 100081, ChinaDepartment of Mathematics and Center for Nonlinear Studies, Northwest University, Xi’an 710069, ChinaConsideration 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.http://dx.doi.org/10.1155/2014/876849
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xiaolian Ai Lingyu Jiang Ting Yi
spellingShingle	Xiaolian Ai Lingyu Jiang Ting Yi Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation Abstract and Applied Analysis
author_facet	Xiaolian Ai Lingyu Jiang Ting Yi
author_sort	Xiaolian Ai
title	Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation
title_short	Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation
title_full	Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation
title_fullStr	Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation
title_full_unstemmed	Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation
title_sort	wave-breaking phenomena and existence of peakons for a generalized compressible elastic-rod equation
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	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.
url	http://dx.doi.org/10.1155/2014/876849
work_keys_str_mv	AT xiaolianai wavebreakingphenomenaandexistenceofpeakonsforageneralizedcompressibleelasticrodequation AT lingyujiang wavebreakingphenomenaandexistenceofpeakonsforageneralizedcompressibleelasticrodequation AT tingyi wavebreakingphenomenaandexistenceofpeakonsforageneralizedcompressibleelasticrodequation
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Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation

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