On the Similarity Solutions of the Inhomogeneous Nonlinear Diffusion Equation via Symmetry Method(General)

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概要

• 論文の詳細を見る

• The invariance under continuous group of transformations of the nonlinear diffusion equation in an inhomogeneous medium f(x)u_t = (g(x)u^nu_x)_x with arbitrary thermal coefficients f(x) and g(x) is studied. The infinitesimals, similarity variables, dependent variables, and reduction to quadrature or exact solutions of this equation for physically realizable forms of f(x), g(x) and n are obtained too. Some interesting results of this study are new exact solutions, that do not seem to have been reported in the literature.

• 社団法人日本物理学会の論文
• 2004-01-15

著者

• Abdul‐aziz S

  Cairo Univ. Beni‐suef Egy

• Abdul-aziz S.

  Department Of Mathematics Faculty Of Science Cairo University

• KHATER A.

  Department of Mathematics, Faculty of Science, Cairo University

• MALFLIET W.

  Department of Physics, University of Antwerp (UIA)

• CALLEBAUT D.

  Department of Physics, University of Antwerp (UIA)

• Khater A

  Department Of Mathematics Faculty Of Science Cairo University:department Of Physics University Of An

• Malfliet W

  Department Of Physics University Of Antwerp (uia)

• Callebaut D

  Department Of Physics University Of Antwerp (uia)

• Khater A.

  Department Of Mathematics Faculty Of Science Cairo University:department Of Physics University Of An

関連論文

• On the Similarity Solutions of the Calogero-Degasperis-Fokas Modified KdV Equation via Symmetry Method (Gases, Plasmas and Electric Discharges)
• On the Similarity Solutions of the Calogero-Degasperis-Fokas Modified KdV Equation via Symmetry Method
• On the Similarity Solutions of the Inhomogeneous Nonlinear Diffusion Equation via Symmetry Method(General)
• On the Similarity Solutions of the Inhomogeneous Nonlinear Diffusion Equation via Symmetry Method
• Interaction of a K-dV Soliton with a K-dV Dispersive Wave Train

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