Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and
applying methods of generalized and functional separation of variables used to find exact …

Under study in this paper is a time fractional generalized nonlinear diffusion equation which
can be better to express diffusion phenomena than diffusion equation of integer order …

Enhancing and essentially generalizing previous results on a class of (1+ 1)-dimensional
nonlinear wave and elliptic equations, we apply several new techniques to classify …

. In this paper the partial preliminary group classification of a class of nonlinear wave
equations was carried out via the classification of one-dimensional Lie symmetry extensions …

In this paper, local and nonlocal symmetry classifications are considered for four equivalent
nonlinear telegraph equations. A complete potential symmetry classification of a scalar …

We perform complete group classification of the general class of quasi linear wave
equations in two variables. This class may be seen as a broad generalization of the …

The paper deals with non-linear Klein–Gordon type equations c (x) utt=[a (x) f (u) ux] x+ b (x)
g (u). The direct method for constructing functional separable solutions in implicit form to non …

The Lie-group formalism is applied to investigate the symmetries of the Benjamin–Bona–
Mahony (BBM) equation with variable coefficients. We derive the infinitesimals and the …

In this paper, we discuss similarity reductions for problems of radiative and magnetic field
effects on free-convection and mass-transfer flow past a semi-infinite vertical flat plate. Two …

A complete group classification of a class of variable coefficient (1+ 1)-dimensional
telegraph equations f (x) utt=(H (u) ux) x+ K (u) ux⁠, is given, by using a compatibility …