期刊文献+

Hamilton系统下守恒律获得方法的讨论

Discussing about Methods of Conservation Law in the Hamiltonian System
原文传递
导出
摘要 本文讨论了Hamilton系统下守恒律的获得方法.利用代数方法获得Hamilton正则方程;利用Euler算子的作用,通过守恒因子法获得Hamilton正则方程的守恒律.针对守恒因子所包含的不同变量进行分类列举,对多条守恒律进行分类、总结,为获得更多的守恒律做铺垫. In this paper, we discuss about methods of conservation law in the Hamihonian system. First of all,we use the algebra method for Hamilton canonical equation. Secondly, we obtain the conservation law of Hamiltoncanonical equation by the method of conservation factor. Finally, we sum up many conservation laws according todifferent variables
作者 许晶
机构地区 集宁师范学院
出处 《阴山学刊(自然科学版)》 2016年第3期11-15,共5页 Yinshan Academic Journal(Natural Science Edition)
基金 集宁师范学院科学研究项目(jsky2016055)
关键词 HAMILTON系统 守恒律 守恒因子法 Hamilton system Conservation law The conservation factor method
  • 相关文献

参考文献2

二级参考文献23

  • 1Peter JOlver.Applications of Lie Groups to Differential Equations[M].Berlin:Springer-Verlag,1999.
  • 2Debnath L.Partial Differential Equations for Scientists and Engineers[M].Boston:Birkhauser.1997.
  • 3Ibragimov N H.Transformation groups applied to mathematical physics I:Reidel publishing company[M].Holland:Dordrecht,1985.
  • 4Chou Tian.Lie Group and its Application to Differential Equations[M].Beijing; Science press,2005.
  • 5Chou Tian.New Recursion Operator,Symmetry and Lie Algebra of the Burgers Equation[J].Chin Sci A,1987:1 009-1 018.
  • 6Ibragimov N H.A New Conservation Theorem[J].J Math Anal Appl,2007,333:311-328.
  • 7Xu Bin.New Solutions of the Generalized Burgers-KP Equation[J].Journal of Liaocheng University:Natural Science Edition,2009(2):9-12.
  • 8H. Liu and J. Li, Nonlinear Anal. TMA 71 (2009) 2126.
  • 9H. Liu, J. Li, L. Liu, and Y. Wei, J. Math. Anal. Appl. 383 (2011) 4O0.
  • 10H. Liu and L. Liu, J. Appl. Math. Informatics 29 (2011) 563.

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部