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3+1维Burgers方程的Painlevé性质和B(a)cklund变换及严格解
  • ISSN号：1001-5051
  • 期刊名称：《浙江师范大学学报：自然科学版》
  • 时间：0
  • 分类：O41[理学—理论物理;理学—物理]
  • 作者机构：[1]宁波教育学院,浙江宁波315010, [2]宁波大学理学院,浙江宁波315211
  • 相关基金：国家自然科学基金资助项目（11175092;11275123;11205092）
作者： 金艳[1], 贾曼[2]
关键词： 3+1维Burgers方程, 截断的Painlevé展开, BACKLUND变换, 新严格解, { 3 ＋ 1 }-dimensional Burgers equation, truncated Painlev, expansion, Backlund transformation, new exact solutions
中文摘要：

3＋1维的Burgers方程是物理学的重要方程之一.利用奇性分析方法证明了3＋1维Burgers方程的Painlevé性质;然后,利用截断的Painlevé展开给出了3＋1维Burgers方程的Backlund变换;最后,由简单的特解出发,利用贝克隆变换得到了3＋1维Burgers方程的大量新解.

英文摘要：

dimensional Burgers equation had been one of the most equations in physics. By singularity analysis, the Painleve property of the 3 ＋ 1 dimensional Burgers was proved. By using truncated Painlev6 expansion, the Backlund transformation of the model was obtained. Moreover, a simple known solution, various new exact solutions were obtained via Backlund transformation. means of the the standard starting from

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期刊信息
  • 《浙江师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:浙江师范大学
  • 主办单位:浙江师范大学
  • 主编：王辉
  • 地址：浙江省金华市迎宾大道688号浙江师范大学
  • 邮编：321004
  • 邮箱：xbzkb@zjnu.cn
  • 电话：0579-82282067
  • 国际标准刊号：ISSN：1001-5051
  • 国内统一刊号：ISSN：33-1291/N
  • 邮发代号:
  • 获奖情况:
  • 1989年获浙江省高校自然科学学报编排质量一等奖,1996年获全国高校自然科学学报编排质量三等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,德国数学文摘,中国中国科技核心期刊
  • 被引量:3210