It is well known that symmetry-based methods are very powerful tools for investigating
nonlinear partial differential equations (PDEs), notably for their reduction to those of lower …

Symmetries, ansätze and exact solutions of nonlinear second-order evolution
equations with convection terms Page 1 Euro. Jnl of Applied Mathematics (1998), vol. 9, pp …

The fast diffusion equation [Formula: see text] is investigated from the symmetry point of view
in development of the paper by Gandarias [ML Gandarias, Phys. Lett. A 286 (2001) 153] …

The nonclassical symmetries method is applied to a class of reaction-diffusion equations
with nonlinear source, ie ut= u xx+ cu x+ R (u, x). Several cases are obtained by using …

Lie and Non-Lie Symmetries of Nonlinear Diffusion Equations with Convection Term Page 1
Symmetry in Nonlinear Mathematical Physics 1997, V.2, 444–449. Lie and Non-Lie Symmetries …

This is the second part of the series of papers on symmetry properties of a class of variable
coefficient (1+ 1)-dimensional nonlinear diffusion-convection equations of general form $ f …

Reduction of some wave and heat equations by means of ansatzes in special coordinate
systems results in PDEs with additional symmetry operators compared to original ones …

We perform the complete group classification of a class of systems of diffusion equations.
The obtained results are used for construction of exact invariant solutions of a system from …

The nonclassical symmetries method is applied to a class of reaction-diffusion equations
with nonlinear source, ie ut= uxx+ cux+ R (u, x). Several cases are obtained by using …

One of the most interesting problems of nonlinear differential equations is the construction of
partial solutions. A new method is presented in this paper to seek special solutions of …