In this paper, the main motive is to mathematical explore the Kuralay equation, which find
applications in various fields such as ferromagnetic materials, nonlinear optics, and optical …

A nanofluid is a fluid containing particles with less than a nanometer diameter. These
particles are referred to as nanoparticles dispersed in a base fluid. The viscoelastic Oldroyd …

The main purpose of this paper is to study the Fokas-Lenells equation with cubic-quartic
dispersion describing the propagation of birefringent fibers and polarization preserving …

In this article, a significant stochastic Nizhnik–Novikov–Veselov (SNNV) system with
truncated M-fractional derivative (TMD) is investigated. This mathematical model is …

The nonlinear coupled Schrödinger equation in fiber Bragg gratings is studied in this paper.
The existence of soliton solutions and periodic solutions are proved by qualitative analysis …

In addition to photovoltaic cells, solar power plates, photovoltaic lights, and solar pumping
water, solar energy is the primary source of heat from the sun. At the moment, researchers …

In this paper, the coupled Kundu–Mukherjee–Naskar equation is considered, which is
usually used to describe the oceanic rogue waves, hole waves and Bragg grating fibers …

The Lie symmetry analysis of the Riabouchinsky Proudman Johnson (RPJ) equation is
discussed in this research. In the onset, we derive the geometric vector fields using the …

Nonlinear evolution equations (NLEEs) are extensively used to establish the elementary
propositions of natural circumstances. In this work, we study the Konopelchenko–Dubrovsky …

In this manuscript, our primary objective is to delve into the intricacies of an extended
nonlinear Schrödinger equation. To achieve this, we commence by deriving a dynamical …