83 citations · 592 across the 50 of their papers we have counts for
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Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates
Thudiyangal Mithun, R. Carretero-González, E. G. Charalampidis +2
In this work we study the existence, stability, and dynamics of select topological point and line defects in anti-ferromagnetic, polar phase, Na spinor condensates. Sp…
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…
Numerical bifurcation and stability for the capillary-gravity Whitham equation
Efstathios G. Charalampidis, Vera Mikyoung Hur
We adopt a robust numerical continuation scheme to examine the global bifurcation of periodic traveling waves of the capillary-gravity Whitham equation, which combines the dispersi…