This research study investigates different structures and novel solitary wave solutions of to
the nonlinear fractional Lakshmanan–Porsezian–Daniel equation LPDE. The investigated …

In this study, we use cutting-edge analytical and numerical approaches to the Gilson–
Pickering (GP) problem in order to get precise soliton solutions. This model explains wave …

Abstract The Caudrey–Dodd–Gibbon (CDG) model, a variation of the fifth–order KdV
equation (fKdV) with significant practical consequences, is solved in this study using a …

This research aims to look into alternative unique solitary wave solutions to the perturbed
Chen–Lee–Liu (CLL) equation to explain the kinetic and physical aspects of an optical fiber …

This study presents analytical and numerical solutions of a simplified third-order generalized
nonlinear Schrödinger equation (GNLSE) to demonstrate how ultrashort pulses behave in …

Through five latest numerical schemes (Adomian decomposition (AD), El Kalla (EK), cubic B-
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …

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 …

Approximation and analysis are used for investigating accurate soliton solutions of the ill-
posed Boussinesq (IPB) equation. The investigated model explains shallow-water …

This paper investigates the high-frequency waves' dynamical behavior in the relaxation
medium through two recent analytical schemes. This study depends on the Vakhnenko …

In this paper, the stable analytical solutions' accuracy of the nonlinear fractional nonlinear
time–space telegraph (FNLTST) equation is investigated along with applying the …