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 …

Methods known as fractional subequation and sine‐Gordon expansion (FSGE) are
employed to acquire new exact solutions of some fractional partial differential equations …

In this paper the long-short (LS) wave resonance model is investigated. An efficient
approach, able to classify the types of solutions according to the values of some parameters …

The generalized conditional symmetry (GCS) method is applied to a specific case of the
Grad–Shafranov (GS) equation, in cylindrical geometry assuming the existence of an axial …

This paper will study Eckhaus-Kundu equation from the perspective of Lie symmetry
analysis. We will systematically construct similarity reductions in order to perform the explicit …

This paper is trying to clarify recent published results related to a generalized version of 2D
Burgers-KdV equation. The generalization consists in considering a nonlinearity of the form …

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 …