The purpose of this study is to investigate the deeper characteristics of the system of shallow
water wave equations that is used to model the turbulence in the atmosphere and oceans …

The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

The objective of this manuscript is to examine the nonlinear characteristics of the modified
equal width equation that is used to simulate the one-dimensional wave propagation …

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 main aim of the presented paper is to obtain the exact solutions of the generalized Sasa–
Satsuma equation using two different methods, the modified auxiliary equation method and …

This paper discusses the existence of a diverse range of novel periodic nonlinear waves in
the generalized (3+ 1)-dimensional Sasa–Satsuma equation. This equation models the …

In this paper, the generalized (3+ 1)-dimensional nonlinear Sasa–Satsuma model with
conformable fractional derivative using the new Kudryashov approach is considered to find …

This paper is concerned with the modern exact soliton solutions to the M-fractional Kairat-II
equation (K-IIE) and Kairat-X equation (K-XE). To obtain these results, we utilize the expa …

The key objective of the current manuscript was to investigate the exact solutions of the
fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we …

The prime objective of the present investigation is to classically unveil the dynamical
properties of nonlinear Akbota equation, connected with Heisenberg ferromagnets. The …