On the Similarity Solutions of the Calogero-Degasperis-Fokas Modified KdV Equation via Symmetry Method (Gases, Plasmas and Electric Discharges)

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概要

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• Using the symmetry method, we analyze the Calogero-Degasperis-Fokas modified KdV equation u_t + U_<xxx>-au^3_x-f(u)u_x=0; a ∈ R, where the function f solves f'''(u)=8af'(u). The infinitesimals, similarity variables, dependent variables, and reduction to quadrature or exact solutions of this equation for physically realisable forms of f(u) are also obtained. Some interesting outcomes of this study are the deductions of the new exact solutions, that does not seem to have been reported in the literature.

• 社団法人日本物理学会の論文
• 2003-10-15

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

• MALFIET W.

  Department of Physics, University of Antwerp (UIA)

• MOUSSA M.

  Department of Mathematics, Faculty of Education, Ain Shams University

• Khater A

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

• Moussa M.

  Department Of Mathematics Faculty Of Education Ain Shams University

• Malfiet W.

  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

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