We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse
propagation (PP) with perturbation effects, which has various applications in optical fibers …

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 …

We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model
(BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential …

Application of transformations for dependent and independent variables is used for finding
solitary wave solutions of the generalized Schrödinger equations. This new form of equation …

Abstract In this paper 2+ 1–dimensional Kadomtsev–Petviashvili (KP) equation with variable
coefficients is investigated through the extended generalized G′ G–expansion technique …

Abstract The complex Radhakrishnan-Kundu-Lakshmanan equation having polynomial law
of nonlinearity with four powers is considered. The Cauchy problem for this partial …

Abstract The complex Ginzburg–Landau equation having polynomial law of nonlinearity with
four powers is considered. The Cauchy problem for this equation cannot be solved by the …

The purpose of this article is to achieve new soliton solutions of the Gilson–Pickering
equation (GPE) with the assistance of Sardar's subequation method (SSM) and Jacobi …

In this research, the modified extended tanh-function (METF) and the extended Jacobi
elliptic function expansion (EJEFE) techniques are used to investigate the generation and …

Partial differential equation of the sixth order for description of the propagation impulse in
nonlinear optics is considered at arbitrary refractive index. Exact solution of differential …