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

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nlin.SI2024

Inelastic Scattering, Emergent Interactions of Solitons in the Zakharov-Kuznetsov Equation through Conservative and non-Conservative Physics-Informed Neural Networks

A. Nakamula, K. Obuse, N. Sawado +4

The Zakharov-Kuznetsov equation, originally a three dimensional mathematical model of plasma with a uniform magnetic field, is a direct extension of the KdV equation into higher di…