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energy projection 1hamiltonian pdes 1long-time simulation 1neural operators 1soliton dynamics 1

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math-ph2026

Structure-Informed Neural Operators for Long-Time Prediction of Parametric Hamiltonian PDEs

Victory C. Obieke, Christopher Chukwuemeka, Emmanuel E. Oguadimma

The paper introduces an energy‑projection Fourier neural operator that incorporates invariant projection to improve long‑time predictions of parametric Hamiltonian PDEs, preserving…