83 citations · 592 across the 50 of their papers we have counts for
4 papers · 1 filter
Discovering Governing Equations in Discrete Systems Using PINNs
Sheikh Saqlain, Wei Zhu, Efstathios G. Charalampidis +1
Sparse identification of nonlinear dynamical systems is a topic of continuously increasing significance in the dynamical systems community. Here we explore it at the level of latti…
Breathers in lattices with alternating strain-hardening and strain-softening interactions
Marisa M. Lee, Efstathios G. Charalampidis, Siyuan Xing +2
This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and…
Stability of exact solutions of the -dimensional nonlinear Schrödinger equation with arbitrary nonlinearity parameter
Fred Cooper, Avinash Khare, Efstathios G. Charalampidis +2
In this work, we consider the nonlinear Schrödinger equation (NLSE) in dimensions with arbitrary nonlinearity exponent in the presence of an external confining potential.…
A Spectral Analysis of the Nonlinear Schroedinger Equation in the Co-Exploding Frame
S. J. Chapman, M. E. Kavousanakis, E. G. Charalampidis +2
The nonlinear Schroedinger model is a prototypical dispersive wave equation that features finite time blowup, either for supercritical exponents (for fixed dimension) or for superc…