The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …

In this paper, conformable Fokas–Lenells model is under consideration, this model is
usually used to simulate the propagation model of femtosecond pulses in single-mode …

In this paper, we studied the Drinfel'd–Sokolov–Wilson equation (DSWE) and Boiti Leon
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …

In this analysis, we use the high order cubic B-spline method to create approximating
polynomial solutions for fractional Painlevé and Bagley-Torvik equations in the Captuo …

Tuberculosis (TB) is one of the most dangerous infectious diseases which spreads from one
person to another through the air and often attacks the lungs. A mathematical model of TB …

The main focus of this study is to extract the optical solitons of the two variants of the
nonlinear Schrödinger model including the dispersive cubic-quintic nonlinear Schrödinger …

Abstract The (3+ 1)-dimensional Kadomtsev–Petviashvili equation has significant
applications that emerge in the study of fluids and multi-component plasmas. The main …

The pseudo-spectral method is used as a technique to employ the first derivative of the well-
known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss …

In this research paper, the third-order fractional partial differential equation (FPDE) in the
sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional …

Topology optimization design provides innovative structures with excellent thermal,
mechanical and acoustic performance for modern engineering. Moving Morphable …