The frequency-amplitude relationship is pivotal in understanding oscillatory systems,
dictating their dynamic behaviors and responses. This paper delves into the intricacies of the …

The comprehensive formularization of the frequency–amplitude formula is the main interest
in this work to cover higher powers of the restoring force which are not limited to cubic …

In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK)
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …

In this investigation, based on the theory of generalized thermoelasticity and memory-
dependent derivative (MDD) with time delay, a new model of heat conduction has been …

A new numerical scheme based on the tau spectral method for solving the linear hyperbolic
telegraph type equation is presented and implemented. The derivation of this scheme is …

Purpose A group of classical oscillators of high nonlinearity, which cannot be completely
analyzed, is addressed by introducing a novel technique. The main objective of the current …

We construct a model to investigate HIV/AIDS dynamics in real cases and study its
mathematical analysis. The study examines the qualitative outcomes and confirms the local …

Simulation and numerical study for the blood ethanol concentration system (BECS) and the
Lotka-Volterra system, ie, predator-prey equations (PPEs)(both of fractional order in the …

This study aims to investigate the (2+ 1)-dimensional Kadomtsev-Petviashvili equation via
the three-waves method through the Hirota bilinear form and the Kudryashov's method. Multi …

The aim of this study is to find new exact solutions to the coupled Maccaris system by
extended rational sine-cosine and rational sinh-cosh methods. By means of these methods …