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VOL. 9 | 2008 Finding Lie Symmetries of Partial Differential Equations with MATHEMATICA$^{®}$: Applications to Nonlinear Fiber Optics
Vladimir Pulov, Ivan Uzunov, Edy Chacarov

Editor(s) Ivaïlo M. Mladenov

Abstract

A MATHEMATICA$^{®}$ package for finding Lie symmetries of partial differential equations is presented. The package has been applied to perform a full Lie group analysis of basic models of nonlinear fiber optics. As a result of this group invariant solutions have been obtained. Comparisons with earlier published computer algebra implementations of the Lie group method are discussed.

Information

Published: 1 January 2008
First available in Project Euclid: 13 July 2015

zbMATH: 1192.65171
MathSciNet: MR2436279

Digital Object Identifier: 10.7546/giq-9-2008-280-291

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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