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.
Keywords for this software
References in zbMATH (referenced in 9 articles , 1 standard article )
Showing results 1 to 9 of 9.
- 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)
- Yun, Yinshan; Temuer, Chaolu: Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation (2015)
- Chaolu, Temuer; Bluman, G.: An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations (2014)
- Huang, Ding-jiang; Zhou, Shuigeng: Group-theoretical analysis of variable coefficient nonlinear telegraph equations (2012)
- Zhang, Zhiyong; Gao, Ben; Chen, Yufu: Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations (2011)
- Huang, Ding-Jiang; Zhou, Shuigeng: Group properties of generalized quasi-linear wave equations (2010)
- Vorob’ev, E. M.: Symmetry analysis of nonlinear differential equations with the “Mathematica” program SYMMAN (1997)
- Foursov, M. V.; Vorob’ev, E. M.: Solutions of the nonlinear wave equation (u_tt=(uu_x)_x) invariant under conditional symmetries (1996)
- Vorob’ev, E. M.: Symmetry analysis of nonlinear PDE with a “Mathematica” program SYMMAN (1996)