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

Pulov, Vladimir; Chacarov, Edy; Uzunov, Ivan

Serdica Journal of Computing (2007)

- Volume: 1, Issue: 4, page 505-518
- ISSN: 1312-6555

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topPulov, Vladimir, Chacarov, Edy, and Uzunov, Ivan. "A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations." Serdica Journal of Computing 1.4 (2007): 505-518. <http://eudml.org/doc/11438>.

@article{Pulov2007,

abstract = {The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006A 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 of the
package's tools are given. The results of the package application to performing
a full Lie group analysis of coupled nonlinear Schrödinger equations from
nonlinear fiber optics are presented. Comparisons with earlier published
computer algebra implementations of the Lie group method are discussed.},

author = {Pulov, Vladimir, Chacarov, Edy, Uzunov, Ivan},

journal = {Serdica Journal of Computing},

keywords = {Mathematica Package; Lie Symmetries; Partial Differential Equations; heat equation; Burgers equation; MATHEMATICA package; Lie symmetries; partial differential equations},

language = {eng},

number = {4},

pages = {505-518},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations},

url = {http://eudml.org/doc/11438},

volume = {1},

year = {2007},

}

TY - JOUR

AU - Pulov, Vladimir

AU - Chacarov, Edy

AU - Uzunov, Ivan

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

JO - Serdica Journal of Computing

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 1

IS - 4

SP - 505

EP - 518

AB - The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006A 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 of the
package's tools are given. The results of the package application to performing
a full Lie group analysis of coupled nonlinear Schrödinger equations from
nonlinear fiber optics are presented. Comparisons with earlier published
computer algebra implementations of the Lie group method are discussed.

LA - eng

KW - Mathematica Package; Lie Symmetries; Partial Differential Equations; heat equation; Burgers equation; MATHEMATICA package; Lie symmetries; partial differential equations

UR - http://eudml.org/doc/11438

ER -

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