83 citations · 592 across the 50 of their papers we have counts for
3 papers · 2 filters
Neural Networks Enforcing Physical Symmetries in Nonlinear Dynamical Lattices: The Case Example of the Ablowitz-Ladik Model
Wei Zhu, Wesley Khademi, Efstathios G. Charalampidis +1
In this work we introduce symmetry-preserving, physics-informed neural networks (S-PINNs) motivated by symmetries that are ubiquitous to solutions of nonlinear dynamical lattices.…
Wave manipulation using a bistable chain with reversible impurities
Hiromi Yasuda, Efstathios G. Charalampidis, Prashant K. Purohit +2
We systematically study linear and nonlinear wave propagation in a chain composed of piecewise-linear bistable springs. Such bistable systems are ideal testbeds for supporting nonl…
Stability of exact solutions of a nonlocal and nonlinear Schrödinger equation with arbitrary nonlinearity
Efstathios G. Charalampidis, Fred Cooper, Avinash Khare +2
This work focuses on the study of solitary wave solutions to a nonlocal, nonlinear Schrödinger system in + dimensions with arbitrary nonlinearity parameter . Although the…