The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with
Kerr law nonlinearity according to the new extended direct algebraic method. When …

Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this
paper, we introduce a class of new fractional derivative named general conformable …

In recent years, the derivation and solution of integrable nonlinear evolution equations
(NLEEs) in one, two, or more dimensions have been the apex in the field of applied …

In this paper, we study on the conformable (2+ 1)-dimensional Ablowitz-KaupNewell-Segur
equation in order to show the existence of complex combined dark-bright soliton solutions …

In this paper, we take into consideration a general form of the extended Kadomtsev–
Petviashvili equation, which has several applications in applied sciences and engineering …

Motivated by recent researches in magnetic curves and their flows in different types of
geometric manifolds and physical spacetime structures, we compute fractional Lorentz force …

The sub-equation method is implemented to construct exact solutions for the conformable
perturbed nonlinear Schrödinger equation. In this paper, we consider three different types of …

In this manuscript, the application of the extended sinh-Gordon equation expansion method
to the Davey-Stewartson equation and the (2+ 1)-dimensional nonlinear complex coupled …

This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …