The aim of this short note is to produce new examples of geometrical flows associated to a
given Riemannian flow $ g (t) $. The considered flow in covariant symmetric $2 $-tensor …

The paper generalizes previous results on the 2D Ricci flow equation in a conformal gauge.
It investigates a general form of the 2D nonlinear heat equation and it points out all possible …

The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic
nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation …

The paper is devoted to the Lie symmetries of 2D nonlinear dynamical systems described by
second order partial differential equations. By imposing the invariance condition of the …

The paper investigates the connections between the symmetries of the same dynamical
system defined in spaces with various number of degrees of freedom. More precisely, we …

In this paper, we develop the symmetry-related methods to study invariant subspaces of the
two-dimensional nonlinear differential operators. The conditional Lie–Bäcklund symmetry …

In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional
manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie …

The paper presents a connection between Lie symmetries and conservation laws for the 2D
Ricci flow model. The procedure starts by obtaining a set of multipliers which generates …

We study the nonlinear self-adjointness of a general class of quasilinear 2D second order
evolution equations which do not possess variational structure. For this purpose, we use the …

This paper is devoted to obtain the one‐dimensional group invariant solutions of the two‐
dimensional Ricci flow ((2D) Rf) equation. By classifying the orbits of the adjoint …