Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Discrete Group Method for Nonlinear Heat Equation

  • Darania, Parviz (Department of Mathematics, Faculty of Science, Urmia University) ;
  • Ebadian, Ali (Department of Mathematics, Faculty of Science, Urmia University)
  • Received : 2005.01.24
  • Published : 2006.09.23
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Abstract

In the category of the group theoretic methods using invertible discrete group transformation, we give a useful relation between Emden-Fowler equations and nonlinear heat equation. In this paper, by means of appropriate transformations of discrete group analysis, the nonlinear hate equation transformed into the class of the Emden-Fowler equations. This approach shows that, under the group action, the solution of reference equation can be transformed into the solution of the transformed equation.

Keywords

References

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