Here, a new fractional sub-equation method with a fractional complex transform is proposed
for constructing exact solutions of fractional partial differential equations arising in plasma …

In this study, the\exp (-ϕ (ξ)) exp (-ϕ (ξ))-expansion function method is considered for solving
two classes of space-time fractional partial differential equations of very special interest. The …

In this paper, we examines the effectiveness of newly developed algorithms called the exp (-
ϕ (ξ))-expansion function method and generalized Kudryashov method for constructing new …

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 …

ABSTRACT A preliminary group classification based on symmetry operators is applied to
study invariance properties of the time-fractional (α+ 2)-dimensional fractional evolution …

We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico-
electrical coupling dynamical systems under the infinitesimal transformations. A criterion of …

In this paper, a symmetry classification of a (2+ 1)-nonlinear wave equation utt− f (u)(uxx+
uyy)= 0 where f (u) is a smooth function on u, using Lie group method, is given. The basic …

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 …

In this paper an improved tanh-method and the symbolic Maple computations are applied to
the Dodd–Bullough–Mikhailov (DBM) equation in order to construct in an unitary way …

The semidiscrete complex modified Korteweg–de Vries equation (semidiscrete cmKdV),
which is the second member of the semidiscrete nonlinear Schrodinger hierarchy (Ablowitz …