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

This article investigates the significance of the unsteady nonlinear Landau–Ginzburg–Higgs
equation in the context of superfluids and Bose–Einstein condensates. The problem of …

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 …

The intent of this work to implement first-integral method to study traveling wave solutions of
some space-time nonlinear fractional differential equations (FDEs) and present their …

This study delves deep into the complexities of the modified nonlinear Schrödinger
equation. Through the Galilean transformation, we derive a dynamic system linked to the …

The investigation of optical solitons, a subject of significant interest in fibre optics and
communications due to its importance in signal transmission and data processing, is the …

This paper delves deeply into the investigation of the (2+ 1)-dimensional nonlinear
Zoomeron model. The primary focus of the study revolves around comprehending the …

This manuscript delves into the captivating domain of the (3+ 1)-dimensional Boussinesq
equation, unraveling its complex dynamics and revealing mesmerizing soliton solutions. Our …

This article investigates the non-linear generalized geophysical KdV equation, which
describes shallow water waves in an ocean. The proposed generalized projective Riccati …

Nonlinear dynamical problems, characterized by unpredictable and chaotic changes among
variables over time, pose unique challenges in understanding. This paper explores the …