8 papers
Blowup of Multi-Peaked Waveforms in the Two-Dimensional Nonlinear Schroedinger Model
S. Jon Chapman, M. Kavousanakis, E. G. Charalampidis +2
In the present work, we explore the self-focusing and resulting collapse of two-dimensional waveforms involving multiple pulses in a nonlinear Schroedinger equation with a general…
The continuous spectrum of bound states in expulsive potentials
H. Sakaguchi, B. A. Malomed, A. C. Aristotelous +1
On the contrary to the common intuition, which suggests that a steep expulsive potential makes quantum states widely delocalized, we demonstrate that one- and two-dimensional (1D a…
Stability and mixed phases of three-component droplets in one dimension
I. A. Englezos, E. G. Charalampidis, P. Schmelcher +1
We explore the ground state properties and excitation spectra of one-dimensional three-component bosonic mixtures accommodating a droplet in two of the species and a third minority…
Modeling pandemics
John F. Dawson, Fred Cooper, Efstathios G. Charalampidis
We review several models for pandemics that plagued the USA and the world in the past decade. Methods of data fitting are reviewed and several types of microscopic and rate equatio…
Multi-hump Collapsing Solutions in the Nonlinear Schr{ö}dinger Problem: Existence, Stability and Dynamics
Jon S. Chapman, Mihalis Kavousanakis, Efstathios G. Charalampidis +2
In the present work we examine multi-hump solutions of the nonlinear Schr{ö}dinger equation in the blowup regime of the one-dimensional model with power law nonlinearity, bearing…
Two-component droplet phases and their spectral stability in one dimension
Efstathios G. Charalampidis, Simeon I. Mistakidis
We unravel the existence and stability properties of one-dimensional droplets arising in genuine two-component particle imbalanced bosonic mixtures under the influence of a weak ha…