8 citations · 16 across the 13 of their papers we have counts for
4 papers · 1 filter
On the dispersionless limit of the Manakov system, its Riemann invariants, and the modulational stability of its counterpropagating plane waves
Jimmie Adriazola, Gino Biondini
We study the dispersionless limit of the Manakov system, the integrable two-component generalization of the nonlinear Schrödinger equation. We derive the resulting four-component g…
Learning Lax Pairs: Revisiting the Classical Paradigm
Jimmie Adriazola, Gino Biondini, Wei Zhu +1
A Lax pair is sometimes thought of as a structural certificate, in that the spatial operator carries the spectral data of an integrable system, and its isospectral evol…
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
Harbir Antil, Yaw Owusu-Agyemang, Rohit Khandelwal +2
We develop a structure-preserving solution framework for the optimal control of the time-dependent Maxwell's equations. Building on a well-posedness theory for a weak form of the f…
Learning Volterra Memory Kernels for Non-Markovian Qubit Dynamics
Jimmie Adriazola, Katarzyna Roszak
We develop a data-driven framework for identifying non-Markovian equations of motion for open quantum systems, demonstrated here for qubit-environment dynamics. Starting from the N…