摘要Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the `Enter' key. Abundant (1+1)-dimensional nonlinear mathematical physical systems are analysed effectively by using a Maple package LieSYMGRP proposed by us.
Abstract：Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the `Enter' key. Abundant (1+1)-dimensional nonlinear mathematical physical systems are analysed effectively by using a Maple package LieSYMGRP proposed by us.
YAO Ruo-Xia;LOU Sen-Yue;. A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of (1+1)-Dimensional Nonlinear Systems[J]. 中国物理快报, 2008, 25(6): 1927-1930.
YAO Ruo-Xia, LOU Sen-Yue,. A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of (1+1)-Dimensional Nonlinear Systems. Chin. Phys. Lett., 2008, 25(6): 1927-1930.
[1] Bluman G W and Kumei S 1989 Symmetries and DifferentialEquations: Applied Mathematical Sciences 81 (Berlin: Springer) [2]Schwarz F 1988 Lecture Notes in Comput. Sci. 296 167 [3]Schwarz F and Augustin S 1992 Computing 49 95 [4]Champagne B, Hereman W and Winternitz P 1991 Comp. Phys.Comm. 66 319 [5] Hereman W 1994 Eur. Math. Bull. 1 45 [6] Baumann G 1992 Lie Symmetries of DeferentialEquations: A Mathematica Program to Determine Lie SymmetriesMathSource 0202-622 (Champaign, IL: Wolfram Research Inc.) [7] Carminati J, Devitt J S and Fee G J 1992 J. Symb.Comput. 14 103 [8]Korteweg D J and de Vries G 1985 Philos. Magn. 39 422 [9]Boussinesq J 1871 Comptes Rendus Acad. Sci. Paris 72 755 [10]Whittham G B 1974 Linear and Nonlinear Waves (New York:Wiley) [11]Toda M 1975 Phys. Rep. 8 1 [12]Zabusky N J 1967 Nonlinear Partial DifferentialEquations (New York: Academic) [13]Zakharov V E 1974 Sov. Phys. JETP 38 108 [14]Infeld E and Rowlands G 1990 Nonlinear Waves, Solitonsand Chaos (Cambridge: Cambridge University Press)
2008, Vol. 25 
