Group analysis of nonlinear fin equations

@article{Vaneeva2008GroupAO,
  title={Group analysis of nonlinear fin equations},
  author={Olena O. Vaneeva and A. G. Johnpillai and Roman O. Popovych and Christodoulos Sophocleous},
  journal={Appl. Math. Lett.},
  year={2008},
  volume={21},
  pages={248-253}
}
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… CONTINUE READING

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