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most citedDiscovery of Quasi-Integrable Equations from traveling-wave data using the Physics-Informed Neural Networks

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nlin.SI2026

A Modified Center-of-Mass Conservation Law in Finite-Domain Simulations of the Zakharov--Kuznetsov Equation

Nobuyuki Sawado, Yuichiro Shimazaki

We investigate conservation laws of the two-dimensional Zakharov--Kuznetsov (ZK) equation, a natural higher-dimensional and non-integrable extension of the Korteweg--de Vries equat…