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Tzitz6ica方程的Baicklund变换和显式精确解
  • ISSN号：0023-074X
  • 期刊名称：《科学通报》
  • 时间：0
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]广州大学数学与信息科学学院,广东广州510006, [2]广州大学广东省教育厅数学与交叉科学重点实验室,广东广州510006
  • 相关基金：国家自然科学基金资助项目（40890150,40890153）
作者： 彭小明[1,2], 尚亚东[1,2]
关键词： 扩展齐次平衡法, Baicklund变换, 精确解, Tzitz6ica方程, Dodd—Bullough—Mikhailov方程, Tzitz6ica—, Dodd—Bullough方程, extended homogeneous balance method, Backlund transformation, exact solution, Tzitzeica equa-tion, Dodd-Bullough-Mikhailov equation , Tzitz6ica-Dodd-Bullough equation
中文摘要：

Baicklund变换是求解非线性偏微分方程的一：仲有效方法，文章应用扩展的齐次平衡法得到了Tzitz6ica方程Mxt=peu-qe-2u“的一种Backlund变换和精确解，尤其得到了Tzitz6ica方程，Dodd—Bullough—Mikhailov方程和TzitzNca—Dodd—Bullough方程的精确解．

英文摘要：

Baicklund transformation is a powerful method for solving nonlinear partial differential equation. In this paper, the extended homogeneous balance method is applied for constructing the Baicklund transformation of the Tzitz6ica type equations. And the Baicklund transformation is employed to generate new solutions from the old, especially exact solution of the Tzitzfiica equation, Dodd-Bullough-Mikhailov equation, and Tzitzeica-Dodd- Bullough equation are obtained.

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期刊信息
  • 《科学通报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院
  • 主编：周光召
  • 地址：北京东黄城根北街16号
  • 邮编：100717
  • 邮箱：csb@scichina.org
  • 电话：010-64036120 64012686
  • 国际标准刊号：ISSN：0023-074X
  • 国内统一刊号：ISSN：11-1784/N
  • 邮发代号:80-213
  • 获奖情况:
  • 首届国家期刊奖,中国期刊方阵“双高”期刊,第三届中国出版政府奖
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  • 被引量:81792