Title of article
Group analysis of nonlinear fin equations Original Research Article
Author/Authors
O.O. Vaneeva، نويسنده , , A.G. Johnpillai، نويسنده , , R.O. Popovych، نويسنده , , C. Sophocleous، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
6
From page
248
To page
253
Abstract
Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. These enable us to simplify the classification results and their further applications. The derived Lie symmetries are used to construct exact solutions of truly nonlinear equations for the class under consideration. Nonclassical symmetries of the fin equations are discussed. Adduced results complete and essentially generalize recent works on the subject [M. Pakdemirli and A.Z. Sahin, Similarity analysis of a nonlinear fin equation, Appl. Math. Lett. 19 (2006) 378–384; A.H. Bokhari, A.H. Kara and F.D. Zaman, A note on a symmetry analysis and exact solutions of a nonlinear fin equation, Appl. Math. Lett. 19 (2006) 1356–1360].
Keywords
Nonclassical symmetries , Fin equations , Equivalence transformations , Lie symmetries
Journal title
Applied Mathematics Letters
Serial Year
2008
Journal title
Applied Mathematics Letters
Record number
898562
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