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K（n，-n，2n）方程的行波解
  • ISSN号：1000-5641
  • 期刊名称：《华东师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]华东师范大学数学系,上海200241
  • 相关基金：国家自然科学基金（10671069）;上海市重点学科建设项目（B407）;上海市自然科学基金（08ZR1407000）
作者： 毕平[1], 仇钊成[1]
关键词： 行波解, 孤立波, 周期波, 尖波, 光滑波, traveling wave, solitary wave, periodic wave, cusp wave, smooth wave
中文摘要：

利用动力系统分支理论和定性理论研究了K（n，-n，2n）方程的行波解及其动力学性质．结合可积系统的特点，得到系统的孤立行波解，不可数无穷多光滑周期行波解和不光滑行波解；并根据行波解与相轨线间关系，揭示了不同类型行波解间转变与参数变化的关系．

英文摘要：

The traveling wave solutions and the dynamical properties of Equation K（n,-n, 2n） were studied in terms of the bifurcation theory of dynamic systems and of the qualitative theory. Based on the characters of an integrable system, the solitary traveling wave solutions, uncountably infinite many smooth periodic wave solutions and non-smooth periodic traveling wave solutions of the system were obtained. According to the relationship between traveling waves and phase orbits, that changes of parameters led to the transitions of traveling wave solutions of different types were revealed.

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期刊信息
  • 《华东师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:华东师范大学
  • 主编：郑伟安
  • 地址：上海中山北路3663号
  • 邮编：200062
  • 邮箱：xblk@xb.ecnu.edu.cn
  • 电话：021-62233703
  • 国际标准刊号：ISSN：1000-5641
  • 国内统一刊号：ISSN：31-1298/N
  • 邮发代号:4-359
  • 获奖情况:
  • 中国综合性科技类核心期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6600