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Discrete Group Method for Nonlinear HeatEquation

Ali Ebadian|Parviz Darania
경북대학교 자연과학대학 수학과|2006.09|Kyungpook Mathematical Journal|제46권 제3호|pp. 329-336

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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.

참고문헌 (7)

  1. "Non-Newtonian Fluid Mechanics", 31 (1987)
  2. "Inertial Confinement Fusion", new york (1982)
  3. "Ignition conditions for magneticallyinsulated tamped ICF targets in cylindrical geometry", 41, pp.235~241 (2001)
  4. "Group Analysis of Differential Equations", newyork (1982)
  5. "On the Discrete Group Analysis forSolving Some Classes of Emden-Fowler Equations", 5, pp.169~178 (2004)
  6. "Discrete-Group Methods for Integrating Equationsof Nonlinear Mechanics", california (1994)
  7. "On discrete-group analysis of ordinary differential equations", pp.403~406 (1988)

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