X iv :0 70 8. 34 57 v2 [ m at hph ] 1 5 O ct 2 00 7 Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source O.O. Vaneevaâ€ 1, R. O.â€¦ (More)

Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., Kyiv-4, 01601 Ukraine Department of Mathematics, Eastern University, Chenkalady, Sri Lanka â™®FakultÃ¤t fÃ¼r Mathematik, UniversitÃ¤tâ€¦ (More)

A fast diffusion equation is investigated with symmetry point of view. The set of exact non-Lie solutions constructed by M.L. Gandarias [Phys. Lett. A, 2001,V.286, 153-160] are supplemented with theâ€¦ (More)

X iv :0 70 8. 34 57 v1 [ m at hph ] 2 6 A ug 2 00 7 Enhanced Group Analysis of Variable Coefficient Semilinear Diffusion Equations with a Power Source O.O. Vaneevaâ€ 1, R. O. Popovychâ€ â€¡2 and C.â€¦ (More)

A class of variable coefficient (1+1)-dimensional nonlinear reactionâ€“diffusion equations of the general form f(x)ut = (g(x)u nux)x + h(x)u m is investigated. Different kinds of equivalence groups areâ€¦ (More)

Group classification of a class of Benjaminâ€“Bonaâ€“Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry extensions areâ€¦ (More)

There exist relatively few equations describing natural phenomena among a great number of partial differential equations (PDEs). This begs the question what mathematical properties differ equationsâ€¦ (More)

from the Lie symmetry point of view. Here n is an arbitrary nonzero integer, Î±, Î² and Ïƒ are smooth nonvanishing functions of the variable t. It is widely known that Lie (point) symmetries ofâ€¦ (More)