We present an analysis of the Rayleigh-Plesset equation for a three dimensional vacuous
bubble in water. In the simplest case when the effects of surface tension are neglected, the …

We consider quasi-stationary (travelling wave type) solutions to a general nonlinear reaction-
convection-diffusion equation with arbitrary, autonomous coefficients. The second order …

With growing agony of not finding a dark matter (DM) particle in direct search experiments so
far (for example in XENON1T), frameworks where the freeze-out of DM is driven by number …

This study analyzes actuator disc (AD) models of horizontal-axis turbines to determine
optimal performance, defined as the maximum power extracted at any tip speed ratio. We …

We investigate the connection between the linear harmonic oscillator equation and some
classes of second-order nonlinear ordinary differential equations of Liénard and generalized …

An integrable discretization of the SIR model with vaccination is proposed. Through the
discretization, the conserved quantities of the continuous model are inherited to the discrete …

This article focuses on the predictive potentialities of the Quasi-Random Lattice (QRL)
model, developed for describing the activity behaviour of electrolytic solutions, and …

The Volterra lattice, when imposing non-zero constant boundary values, admits the structure
of a completely integrable Hamiltonian system if the system size is sufficiently small. Such a …

This paper analyzes a population model with time-dependent advection and an autocatalytic-
type growth. As opposed to a logistic growth where the rate of growth of the population …

For the case of nonlinear second-order differential equations with a constant coefficient of
the first derivative term and polynomial nonlinearities, the factorization conditions of Rosu & …