An exact solution of a quasilinear Fisher equation in cylindrical coordinates

Nonlinear Analysis, Theory, Methods and Applications

Volumn 69, Issue 12, 2008, Pages 4803-4805

  Bokhari, Ashfaque H ^a   Mustafa, M T ^a   Zaman, F D ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Exact solutions; Fisher equation; Partial differential equations

Indexed keywords

ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS;

CYLINDRICAL COORDINATES; EXACT SOLUTIONS; EXPLICIT FORMS; FIRST-ORDER; FISHER EQUATION; FISHER EQUATIONS; LIE SYMMETRIES; QUASILINEAR;

SOLUTIONS;

EID: 55049123204     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.11.012     Document Type: Article

References (8)

1. Bluman G., and Cole G.D. The general similarity solution of the heat equation. J. Math. Mech. 18 (1969) 1025
2. Bluman G., and Kumai S. Symmetries and Differential Equaions (1989), Springer-Verlag, New York
3. Brazhnik P.K., and Tyson J.J. On travelling wave solutions of Fisher's equation in two spatial dimensions. SIAM J. Appl. Math. 60 (1999) 371
4. Cantwell B.J. Introduction to Symmetry Analysis (2002), Cambridge University Press
5. k. Physica D 19 (1984) 368
6. Murray J.D. Mathematical Biology (1991), Springer-Verlag
7. Ozisik M.N. Heat Conduction (1993), John Wiley
8. Watson G.N. A Treatise on te Theory of Bessel Functions. second edn (1945), Macmillan Publishing Co., Inc., New York