Purpose: In the last decades, many researchers have performed their best in order to find
the solution of the nonlinear evolution equations, nonlinear partial differential equations …

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 …

Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–
Hirota equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which …

In this study, numerical solutions of the fractional Harry Dym equation are investigated.
Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym …

In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2+ 1)-
dimensional time-fractional Zoomeron equation and the time-fractional third order modified …

Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …

Biswas–Milovic equation is used to narrate the nonlinear dynamics of optical solitons in
nonlinear optics. With the aid of new extended auxiliary method, we find Jacobi elliptic …

Purpose: This study aimed to examine the effects of the parameters, the group velocity
dispersion (GVD), the third-order dispersion (3OD), spatio-temporal dispersion (STD), the …

The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr
and power law nonlinearities. Several integration techniques are applied to retrieve various …

In many nonlinear partial differential equations, noise or random fluctuation is an inherent
part of the system being modeled and have vast applications in different areas of …