In this research, we study traveling wave solutions to the fractional extended nonlinear
SchrÖdinger equation (NLSE), and the effects of the third-order dispersion parameter. This …

This paper analyzes the analytical and numerical solutions' structure of the combined mKdV
equation and KdV equation (mKdV+ KdV equation) using the Khater II (Khat. II) method and …

In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK)
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …

This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger
equation through the modified Khater method. This method is considered one of the most …

In this paper, we aim to study the (1+ 2)-dimensional chiral nonlinear Schrödinger equation.
A complex transform is adopted to convert the equation into the real and imaginary parts …

We develop a new mathematical model by including the resistive class together with
quarantine class and use it to investigate the transmission dynamics of the novel corona …

This article studies the generalized (2+ 1)-dimensional shallow water equation by applying
two recent analytical schemes (the extended simplest equation method and the modified …

In present paper, we solve fractional advection‐dispersion equation (ADE) using Jacobi
collocation method. This equation appears in the transport of solutes in ground water and …

Reliability is one of the important factors in production inventory system as well as in the
demand of the products. During a production process, the products which are more perfect …

This paper investigates the analytical solutions of the well-known nonlinear Schrödinger
(NLS) equation with the higher-order through three members of Kudryashov methods (the …