This manuscript delves into a comprehensive investigation of significant exact solutions
pertaining to the extended modified Vakhnenko-Parkes equation (emVPE), with a focus on …

New solitary wave solutions are developed for various shapes of three-dimensional
nonlinear partial differential equations using the Sardar-Subequation method. Some …

Mathematical model plays a significant role in describing the mutual interaction of various
chemical compositions in chemistry. In this present work, we formulate a new plankton …

This paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation
(eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers …

In this study, a diverse range of optical soliton solutions for the high-order nonlinear
Schrödinger equation (NLSE) are discovered using the Sardar sub-equation (SSE) …

This study introduces an analysis of bifurcations, chaotic dynamics, and sensitivity using the
Galilean transformation applied to the perturbed non-linear Schrödinger equation (NLSE) …

The Lorenz-84 climate model is a simplified mathematical model that describes the chaotic
behavior of atmospheric convection and its impact on global climate patterns. It captures the …

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 …

This research paper delves into the pivotal role of strategic integration of artificial
intelligence (AI) concepts across sustainability efforts in for-profit businesses. As …

For exploring the behavior of complex two-dimensional systems, the idea of planar
dynamical systems offers a potent and adaptable framework. It is simple for researchers to …