In this scholarly article, we investigate the complex structured (3+ 1)-dimensional Fractional
Heisenberg Ferromagnetic Spin Chain equation (FHFSCE) with conformable fractional …

Three-wave resonant interactions are commonly observed in the dispersive and weakly
nonlinear media in fluid mechanics, plasma physics, nonlinear optics, solid-state physics …

The major goal of the current research is to investigate the effects of fractional parameters on
the dynamic response of soliton waves of fractional non-linear density-dependent reaction …

In this study, we investigate new optical soliton solutions for the Lakshmanan–Porsezian–
Daniel (LPD) equation incorporating group velocity dispersion (GVD), spatio-temporal …

The nonlinear Schrödinger equation is used to model various phenomena, such as solitons
self-focusing effects and rogue waves. In the ocean engineering, the modified nonlinear …

In optical fiber theory, the nonlinear Schrödinger equation (NLSE) is one of the most
important physical models for describing the transmission of optical soliton growth. Due to …

In this work, numerous nonlinear evolution equations, namely the nano-ionic current
equation, have wide applications in various fields of science and technology. To achieve …

This paper reveals soliton solutions to (4+ 1)-dimensional Fokas equation, which is an
integrable extension of the Kadomtsev–Petviashvili (KP) and Davey–Stewartson (DS) …

Abstract The stochastic complex Ginzburg–Landau model with parabolic law nonlinearity
and chromatic dispersion is investigated in this research study. In many fields of science …

The primary aim of this investigation is to uncover novel optical soliton solutions (OSSs) 26
and conduct a comprehensive stability analysis of a particular model. The extraction of 27 …