Group Classification of Variable Coefficient Quasilinear Reaction-diffusion Equations
Olena Vaneeva, Alexander Zhalij (2013)
Publications de l'Institut Mathématique
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Olena Vaneeva, Alexander Zhalij (2013)
Publications de l'Institut Mathématique
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Mathematical Problems in Engineering
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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Pulov, Vladimir, Chacarov, Edy, Uzunov, Ivan (2007)
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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...
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Thomas, Luis P., Peña, Carlos C., Barrenechea, Ana Lucia, Marino, Beatriz M. (2007)
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Güngör, Faruk (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Mathematical Modelling of Natural Phenomena
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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...