Symmetry analysis of nonlinear PDE with a ”Mathematica” program SYMMAN. Computer-aided symbolic and graphic computation allows to make significantly easier both theoretical and applied symmetry analysis of PDE. This idea is illustrated by applying a special “Mathematical” package for obtaining conditional symmetries of the nonlinear wave equation u t =(uu x ) x invariant or partially invariant under its classical Lie symmetry.

References in zbMATH (referenced in 9 articles , 1 standard article )

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  1. Dynnikov, I. A. (ed.); Glutsyuk, A. A. (ed.); Kulipanov, G. N. (ed.); Mironov, A. E.; Taimanov, I. A. (ed.); Vesnin, A. Yu (ed.): Conference “Dynamics in Siberia” dedicated to the 90th anniversary of B. V. Chirikov, Novosibirsk, Russia, February 26 -- March 4, 2018. Abstracts (2018)
  2. Yun, Yinshan; Temuer, Chaolu: Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation (2015)
  3. Chaolu, Temuer; Bluman, G.: An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations (2014)
  4. Huang, Ding-jiang; Zhou, Shuigeng: Group-theoretical analysis of variable coefficient nonlinear telegraph equations (2012)
  5. Zhang, Zhiyong; Gao, Ben; Chen, Yufu: Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations (2011)
  6. Huang, Ding-Jiang; Zhou, Shuigeng: Group properties of generalized quasi-linear wave equations (2010)
  7. Vorob’ev, E. M.: Symmetry analysis of nonlinear differential equations with the “Mathematica” program SYMMAN (1997)
  8. Foursov, M. V.; Vorob’ev, E. M.: Solutions of the nonlinear wave equation (u_tt=(uu_x)_x) invariant under conditional symmetries (1996)
  9. Vorob’ev, E. M.: Symmetry analysis of nonlinear PDE with a “Mathematica” program SYMMAN (1996)