可积的两分量Camassa-Holm方程组的尖峰孤子解及爆破现象 张颖, 彭聪明天水师范学院数学与统计学院 天水 741001 Peakons and Blow-up Phenomena for an Integrable Two-component Camassa-Holm System Ying ZHANG, Cong Ming PENGSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(537 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要本文讨论了一个可积的两分量Camassa-Holm方程组的周期柯西问题，该模型可看作是修正Camassa-Holm方程的两分量推广.首先给出了显式的周期尖峰孤子解.其次，建立了强解的爆破准则以及强解爆破时初值满足的几个条件. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2020-05-19 MR (2010): O175.2 基金资助:国家自然科学基金资助项目（11561059）；天水师范学院“青蓝”人才工程基金资助项目 作者简介: 张颖,E-mail:zwbandzy@163.com;彭聪明,E-mail:pecm1980@163.com 引用本文: 张颖, 彭聪明. 可积的两分量Camassa-Holm方程组的尖峰孤子解及爆破现象[J]. 数学学报, 2021, 64(6): 895-908. Ying ZHANG, Cong Ming PENG. Peakons and Blow-up Phenomena for an Integrable Two-component Camassa-Holm System. Acta Mathematica Sinica, Chinese Series, 2021, 64(6): 895-908. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I6/895 [1] Camassa R., Holm D. D., An integrable shallow water equation with peaked solitons, Physical Review Letters, 1993, 71(11):1661-1664. [2] Chang X. K., Hu X. 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