The chaotic waterwheel model is a mechanical model that exhibits chaos and is also a
practical system that justifies the Lorenz system. The chaotic waterwheel model (or Malkus …

In this paper, a more general form of unstable nonlinear Schrödinger equation which
describe the time evolution of disturbances in marginally stable or unstable media is studied …

The main goal of this study is to find solutions for the fractional model of the fifth-order
weakly nonlocal Schrödinger equation incorporating nonlinearity of the parabolic law and …

In this paper, we analyzed and found the solution for a suitable nonlinear fractional
dynamical system that describes coronavirus (2019-nCoV) using a novel computational …

Abstract The Korteweg–De Vries (KdV) equation has always provided a venue to study and
generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the …

The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …

In the present work, we find the series solution for the system of fractional differential
equations describing the atmospheric dynamics of carbon dioxide (CO 2) gas using the q …

The investigation of the nonlinear models and their complex nature with generalized theory
associated to material and history-based properties is a motivation for the present work. The …

The Murnaghan model of the doubly dispersive equation, which is well-known in the field of
materials research, is taken into consideration in this work. This equation is resolved using …

In the present framework, the coupled mathematical model of the atmosphere-ocean system
called El Nino-Southern Oscillation (ENSO) is analyzed with the aid Adams-Bashforth …