期刊文献+

关于射丛上极小曲面方程容许群的一点注记

Some Results of Minimal Surfaces PDE on Jet Bundle
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摘要 用L ie对称群的方法研究了在的射丛上极小曲面方程的容许群,在求解过程中可以利用极小曲面方程中变量的相关性计算,也可以将极小曲面方程直接代入降低自由度计算,结果表明两种方法计算效果相同。 By using symmetry group methods, this paper studied the invariant groups admitted by Minimal Surfaces PDE on jet bundle . The fact is given that we may get the same result by substituting the Minimal Surfaces PDE and by using the variable's relativity.
作者 何梅
出处 《淮阴工学院学报》 CAS 2008年第5期7-9,共3页 Journal of Huaiyin Institute of Technology
关键词 射流空间 对称群 群不变解 无穷小生成元 jet space symmetry group group - invariant solution infinitesimal generator
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参考文献11

  • 1Barenblatt G I. Similarity and Intermediate Asymptotics Consultants [ M ]. New York: Bureau, 1979.
  • 2Hill J M. Solution of Differential Equations by Means of One - Parameter Groups [ M]. Boston : Pitman,1982.
  • 3Ovsiannikov L V. Group Properties of Differential Equation [ M ]. Moscow : Novosibirsk, 1962.
  • 4Stephani H. Differential Equation -Their Solution Using Symmetries [ M]. New York: Cambridge Univ. Press, 1989.
  • 5George W, Bluman S K. Symetries and Differential Equations[ M]. New York : Springer - Verlag, 1989.
  • 6Goldschmidt H, Spencer D. On the nonlinear cohomology of Lie equations [J]. Ⅲ Acta Math. , 1976, J36:103 - 239.
  • 7Olver P J. Symmetry groups and groups invariant solutions of partial differential equations [J]. J. Diffe. Geome. , 1979,14:497 -542.
  • 8Bila N. Lie groups applications to minimal surfaces PDE [ J ]. Differential Geometry Dynamical Systems , 1999,1 (1):1 -9.
  • 9Caviglia G. Symmetry transformations isoveetors and conservation laws [J]. J. Math. Phys. , 1986,27 (4) : 972 - 978.
  • 10Sukeyuki K, George W B. When nonlinear differential equations are equivalent to linear differential equations [J]. SIAM J. Appl. Math., 1982,42(5): 1157- 1173.

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