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

In this paper, the main motive is to mathematical explore the thin-film ferroelectric material
partial differential equation which addresses the Ferroelectrics, that are being examined as …

In this paper, the bifurcation, phase portrait and traveling wave solution of time-fractional thin-
film ferroelectric material equation with beta fractional derivative are studied, which are also …

This research includes the study of the non-linear dynamics of thin-film ferroelectric
materials governed by an equation of wave dynamics within the material. This equation …

Abstract The potential Kadomtsev-Petviashvili (pKP) equation delineates the development of
small-amplitude, nonlinear, long waves characterized by a gradual variation in the …

This work investigates the dynamics of solitary waves in a thin-film ferroelectric material
model, an essential component of optical systems. The study recognizes the limitations of …

In this study, the Jacobi elliptic function method (JEFM) and modified auxiliary equation
method (MAEM) are used to investigate the solitary wave solutions of the nonlinear coupled …

The thin-film ferroelectric materials equation is a fundamental mathematical model to explain
the behavior of polarized electric fields in ferroelectric materials possessing unique …

In this article, we focus on a specific version of the NDDEs which is the relativistic Toda
lattice equation. We employ the generalized exponential rational function method on a …

The present investigation describes the dynamical behavior, multi-stability, and traveling
wave solutions of thin-film polarisation equations (TFPE) which describes the propagation of …