Displaying similar documents to “Lie symmetries analysis of the shallow water equations.”

A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations

Pulov, Vladimir, Chacarov, Edy, Uzunov, Ivan (2007)

Serdica Journal of Computing

Similarity:

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006 A MATHEMATICA package for finding Lie symmetries of partial differential equations is presented. The package is designed to create and solve the associated determining system of equations, the full set of solutions of which generates the widest permissible local Lie group of point symmetry transformations. Examples illustrating the functionality...

Applications of Lie Group Analysis to Mathematical Modelling in Natural Sciences

N. H. Ibragimov, R. N. Ibragimov (2012)

Mathematical Modelling of Natural Phenomena

Similarity:

Today engineering and science researchers routinely confront problems in mathematical modeling involving solutions techniques for differential equations. Sometimes these solutions can be obtained analytically by numerous traditional ad hoc methods appropriate for integrating particular types of equations. More often, however, the solutions cannot be obtained by these methods, in spite of the fact that, e.g. over 400 types of integrable second-order ordinary differential equations were...