| 广义可压缩弹性杆方程解的爆破条件 |
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| 引用本文： | 姜玲玉. 广义可压缩弹性杆方程解的爆破条件[J]. 纯粹数学与应用数学, 2013, 0(5): 458-464 |
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| 作者姓名： | 姜玲玉 |
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| 作者单位： | 中央财经大学应用数学学院,北京,100081 |
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| 基金项目： | 国家自然科学基金（11171241）. |
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| 摘 要： | 研究广义可压缩弹性杆方程解的爆破条件及尖峰孤立波解的存在性．首先利用所建立的爆破准则，给出一个方程在有限时刻爆破的充分条件．其次，严格证明了其尖峰孤立波解的整体存在性．该结果丰富了此类Camassa-Holm型方程的研究．
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| 关 键 词： | 广义可压弹性杆波动方程 爆破 尖峰孤立波解 |
Wave-breaking phenomena for a generalized compressible elastic-rod equation |
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| Jiang Lingyu. Wave-breaking phenomena for a generalized compressible elastic-rod equation[J]. Pure and Applied Mathematics, 2013, 0(5): 458-464 |
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| Authors: | Jiang Lingyu |
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| Affiliation: | Jiang Lingyu (Department of Mathematics, Central University of Finance and Economics, Beijing 100081, China) |
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| Abstract: | We investigate in the paper the wave-breaking phenomenon of a generalized hyperelastic-rod wave equation, which occurs in finite time for certain initial profiles. Moreover, we obtain the existence of some peaked solitary wave solutions. The results obtained enriches the research of the type of the Camassa-Holm equation. |
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| Keywords: | generalized hyperelastic-rod wave equation blow-up phenomenon peaked solitary wave solutions 2010 MSC： 35J15 |
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