Kyungpook Mathematical Journal

  • 제46권3호
  • /
  • Pages.329-336
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  • 2006
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

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)
  • 투고 : 2005.01.24
  • 발행 : 2006.09.23
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초록

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.

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참고문헌

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