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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/876849 |
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| _version_ | 1832561193883009024 |
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| author | Xiaolian Ai Lingyu Jiang Ting Yi |
| author_facet | Xiaolian Ai Lingyu Jiang Ting Yi |
| author_sort | Xiaolian Ai |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-039f27496a98496e8b8dd5bdcc5da93b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-039f27496a98496e8b8dd5bdcc5da93b2025-02-03T01:25:36ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/876849 |
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