作者:白玉梅; 时间:2012-01-01 点击数:
白玉梅;
1:内蒙古民族大学数学学院
摘要(Abstract):
采用第一同伦公式法,借助符号计算软件Maple,分别构造(1+1)维非线性弹性波动方程、Brusselator方程组及(2+1)维广义CBS方程的守恒律.
关键词(KeyWords):非线性弹性波动方程;Brusselator方程组;广义CBS方程;第一同伦公式;守恒律
Abstract:
Keywords:
基金项目(Foundation):国家自然科学基金(10862003)
作者(Author):白玉梅;
Email:
参考文献(References):
[1]Olver P J.Applications of Lie groups to differential equations[M].New York:Springer-Verlag,1993.
[2]Cheviakov A F.Computation of fluxes of conservation laws[J].Journal of Engineering Mathematics,2010,66:153-173.
[3]Wolf T.A comparison of four approaches to the calculation of conservation laws[J].Europ.J.Appl.Math,2002,13(2):129-152.
[4]Mei Jian qin,Zhang Jing jing,Zhang Hong qing.Direct algorithms for constructing high-order conservation laws of nonlinear partial differential equations[J].Journal of Dalian University of Technology,2011,51(2):304-308.
[5]许斌,刘希强,刘玉堂.耦合KdV方程组的对称,精确解和守恒律[J].应用数学学报,2010,33(1):118-123.
[6]王婷婷,刘希强,于金倩.Caudrey-Dodd-Gibbon-Kotera-Sawada方程的对称、精确解和守恒律[J].量子电子学报,2011,28(4):385-390.
[7]许斌,刘希强.Landau-Lifshitz方程的群不变解和守恒律[J].量子电子学报,2011,40(5):575-579.
[8]张大军,宁同科.可积系统的守恒律[J].上海大学学报:自然科学版,2006,12(1):19-30.
[9]Tahir Mustafa M,Khalid Masood.Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections[J].Applied Mathematics and Mechanics:English Edition,2009,30(8):1017-1026.
[10]Zhang Huanping,Chen Yong,Li Biao.Infinitely many symmetries and symmetry reduction of(2+1)-dimensional generalized Cal-ogero-Bogoyavlenskii-Schiff equation[J].Acta Phys.Sin.,2009,58(11):7393-7396.
2019 版权所有©东北石油大学 | 地址:黑龙江省大庆市高新技术产业开发区学府街99号 | 邮政编码:163318
信息维护:学报 | 技术支持:现代教育技术中心
网站访问量: