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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：广岛大学
学位：博士
所在单位：船舶工程学院
学科：船舶与海洋结构物设计制造. 水声工程. 计算力学
办公地点：A1区21号，船池317
联系方式：zongzhi@dlut.edu.cn
电子邮箱：zongzhi@dlut.edu.cn
Periodic solutions of the Camassa-Holm equation based on the bilinear form
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论文类型：期刊论文
发表时间：2011-09-02
发表刊物：JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
收录刊物：Scopus、SCIE
卷号：44
期号：35
ISSN号：1751-8113
摘要：Since the famous work of Camassa and Holm, various analytic techniques have been used to find the exact solutions of Camassa-Holm(CH) equation, and many interesting results have been found by the different methods. In this paper, we first give an extended bilinear form of the CH equation which contains four more free parameters than those in the results proposed in Parkers finding for soliton solutions; thus, we construct the smooth periodic solution of the CH equation in a parametric form based on the previous work of Nakumura. We also show that the periodic solution degenerates into the smooth solitary wave solution by limiting behavior of tau -> infinity(tau is the parameter appeared from the Riemann theta function).