Maccari's system serves as a valuable tool in various mathematical disciplines, contributing
to the understanding of complex dynamics, control theory, synchronization phenomena, and …

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 …

In this manuscript, the perturbed Gerdjikov–Ivanov equation is considered for the
investigating model. It is studied to govern the dynamics of soliton propagation through …

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

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 …

We adopted the Lie symmetry technique to obtain some new exact waveform solutions for
the coupled Drinfeld Sokolov Wilson (DSW) system. This system emerges from phenomena …

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 …

The study examines the propagation of solitary waves in optical fibers controlled by the
Radhakrishnan–Kundu–Lakshmanan model (RKL) equation, which includes a cubic–quintic …

This work examines the effects of the higher-order dispersion (HOD) on modulated waves
and modulation instability (MI) gain by using the perturbed nonlinear Schrödinger equation …

This study employed the planar dynamics system method to investigate the chaotic behavior
and traveling wave solution of the fractional stochastic Zakharov system arising in plasma …