This study introduces recent computational advancements targeting the discovery of precise
and novel solitary wave solutions in the (1+ 1)-dimensional Mikhailov-Novikov-Wang (MNW) …

The topic of soliton propagation in optical fibers is explored in our research paper, with a
focus on the utilization of the modified nonlinear Schrödinger's equation with perturbation …

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 …

Abstract The (3, 3, 3) time-fractional Zakharov–Kuznetsov (TFZK) equation demonstrates the
characteristic of traffic flows, the viscoelasticity waves, the material science, sound waves …

This study proposes a new fractal modified equal width-Burgers equation (MEWBE) with the
local fractional derivative (LFD) for the first time. By defining the Mittag-Leffler function (MLF) …

The fractional derivatives have been widely applied in many fields and has attracted
widespread attention. This paper extracts a new fractional (3+ 1)-dimensional modified …

The behavior of optical soliton solutions in optical fiber theory is described by the
Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple …

This study delves into the realm of solitary wave dynamics with pivotal applications in
nonlinear optics. More precisely, the current paper investigates the solitary waves' …

In this paper, the nonparaxial nonlinear Schrödinger (NNLS) equation by considering its
integrability which enables the propagation of ultra-broad nonparaxial beams in a planar …

In the present work, Einstein's vacuum field equation is investigated analytically to explore
the solitary wave solutions. This equation arises in mathematical physics, having meaningful …