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首次积分法与一类三阶非线性波动方程的显式精确解
  • 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
  • 相关基金：国家自然科学基金项目（10771041,40890150,40890153）;广东省科技计划项目（20088080701042）资助
作者： 刘汉洪[1], 尚亚东[1]
关键词： 非线性波动方程, 首次积分法, 精确解, 孤立波解, 周期波解, nonlinear wave equation, first integral method, exact solutions, solitary wave solutions, periodicwave solutions
中文摘要：

研究了模拟松驰介质中声波传播和非线性弹性杆中具横向剪切的纵波传播的一个三阶非线性发展方程的精确可解性．借助计算机代数符号计算Maple，利用首次积分的方法，获得了这个方程的丰富的显式精确解，包括有理分式解，扭状孤立波解，奇异行波解和三角函数周期波解，推广补充了已有结果．

英文摘要：

Exact gation in relaxing solvability for the third order nonlinear evolution media and longitudinal wave propagation with considered. With the aid of symbolic computation equation which describes acoustic wave propa- transverse shearing in nonlinear elastic bar is of computer algebra, abundant explicit exact particular solu- tions to the equation are obtained by using the first integral method. These solutions include the solitary wave so- lutions of rational function, the solitary wave solutions of kink-shape, singular traveling wave solutions, and the periodic wave solutions of triangle function. Some known results are extended and complemented.

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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
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,美国工程索引,日本日本科学技术振兴机构数据库,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:81792