The motive of this work is to provide the neural investigations using the artificial neural
networks (ANNs) through the particle swarm optimization for the singular two-point (STP) …

This manuscript represents some solitary wave solutions to the perturbed nonlinear
Schrödinger equation studied for parabolic law of nonlinearity. Self phase modulation and …

Our aim in this article to constructed the new solitary wave solutions of (2+ 1)-dim nonlinear
Nizhnik-Novikov-Vesselov equation by novel approach which is extended modified rational …

This work studies the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The sine-
Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the …

Under the current research, the local fractional (3+ 1)-dimensional modified Zakharov–
Kuznetsov equation (MZKE) is explored. With the Mittag–Leffler function (MLF) defined on …

In rail transit systems, improving transportation efficiency has become a research hotspot. In
recent years, a new method of train control system based on virtual coupling has attracted …

This paper presents an analytical solver which is known as a generalization of types
methodologies. With the proposed method, one of the old but at the same time popular …

Abstract This study integrates the (1+ 1)-dimensional time M-fractional Lonngren-wave (tM-
fLW) equation. This equation is useful to describe the phenomenon of the electric signals in …

In this article, the nonlinear fractional Kudryashov's equation and the space–time fractional
nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary …

The purpose of this study is to find some novel soliton solutions of Fokas–Lenells (FL)
equation where the perturbation terms are taken into account with nonlinearity. The sine …