In this paper, we construct solutions for model describing heat transfer in longitudinal
rectangular fins. The imposed boundary conditions are the step change in the base …

The provenance of Type II hidden point symmetries of differential equations reduced from
nonlinear partial differential equations is analyzed. The hidden symmetries are extra …

In this paper, we consider a class of space-time fractional inhomogeneous nonlinear
diffusion equations with Riemann-Liouville fractional derivative. Symmetry group method is …

The inhomogeneous nonlinear diffusion equation is studied by invariant subspace and
conditional Lie-Bäcklund symmetry methods. It is shown that the equations admit a class of …

Type-II hidden symmetries of the linear, two-dimensional and three-dimensional wave
equations are analysed. These hidden symmetries are Lie point symmetries that appear in …

An approach for determining a class of master partial differential equations from which Type
II hidden point symmetries are inherited is presented. As an example a model nonlinear …

We have constructed new formulae for generation of solutions for the nonlinear heat
equation and for the Burgers equation that are based on linearizing nonlocal …

In this paper, a class of time-fractional inhomogeneous nonlinear diffusion equation
(tFINDE) with Riemann–Liouville fractional derivative is studied. All point symmetries …

In this paper we derive new potential symmetries that seem not to be recorded in the
literature. These potential symmetries are determined by considering a generalized potential …

New formulae of nonlocal nonlinear superposition and generation of solutions are proposed
for nonlinear diffusion–convection equations which are linearizable or are invariant with …