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Jaulent-Miodek 方程的 Painlevé;可积性及精确解
  • ISSN号：1007-6735
  • 期刊名称：《上海理工大学学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]上海理工大学理学院,上海200093
  • 相关基金：国家自然科学基金资助项目（11201302,11071164）;上海市重点学科建设资助项目（XTKX2012）
作者： 刘磊[1], 胡恒春[1], 高海潮[1]
关键词： PAINLEVE, 可积性, PAINLEVE, 标准截断展开, Jaulent-Miodek, 方程, 精确解, Painleve, integrability, Painleve, standard truncation expansion, Jaulent-Miodek equation, exact solutions
中文摘要：

利用基于 WTC 方法的 Kruskal 简化法判别了一类特殊的非线性耦合Jaulent-Miodek 方程在三种情形下具有 Painleve;可积性，一种情形下不具有 Painleve;可积性。尽管Jaulent-Miodek 方程在一种情形下不具有 Painleve;可积性，仍可以通过推广的 Painleve;标准截断展开和 Painleve;非标准截断展开方法求得非线性耦合 Jaulent-Miodek 方程行波形式的精确解。

英文摘要：

The Painleve;integrability of a special coupled Jaulent-Miodek equation was studied by using the Kruskal’s simplification of WTC method.The following conclusion was obtained：the Jaulent-Miodek equation is of Painleve; integrability in three cases,and is of no Painleve; integrability in one case.Even though in that case,the equation is of no Painleve;integrability,new exact solutions of the coupled Jaulent-Miodek equation can be constructed by using the Painleve; standard and nonstandard truncation expansion.

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期刊信息
  • 《上海理工大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:上海市教育委员会
  • 主办单位:上海理工大学
  • 主编：庄松林
  • 地址：上海市军工路516号489信箱
  • 邮编：200093
  • 邮箱：xbzrb@USST.edu.cn
  • 电话：021-55277251
  • 国际标准刊号：ISSN：1007-6735
  • 国内统一刊号：ISSN：31-1739/T
  • 邮发代号:4-401
  • 获奖情况:
  • 上海市高等学校优秀自然科学学报一等奖,1999年获全国优秀高等学校自然科学学报及教育部优...,1995年获机械工业部优秀科技期刊三等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,荷兰文摘与引文数据库,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）
  • 被引量:5359