On New Conservation Laws of Fin Equation
Author(s) -
Gülden Gün Polat,
Özlem Orhan,
Teoman Özer
Publication year - 2014
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2014/695408
Subject(s) - conservation law , homogeneous space , algorithm , symmetry (geometry) , computer science , mathematics , artificial intelligence , mathematical analysis , geometry
We study the new conservation forms of the nonlinear fin equation in mathematical physics. In this study, first, Lie point symmetries of the fin equation are identified and classified. Then by using the relationship of Lie symmetry and λ-symmetry, new λ-functions are investigated. In addition, the Jacobi Last Multiplier method and the approach, which is based on the fact λ-functions are assumed to be of linear form, are considered as different procedures for lambda symmetry analysis. Finally, the corresponding new conservation laws and invariant solutions of the equation are presented
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