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Inelastic Scattering, Emergent Interactions of Solitons in the Zakharov-Kuznetsov Equation through Conservative and non-Conservative Physics-Informed Neural Networks
Physics-Informed Neural Networks (PINNs) are used to study collision process of soliton solutions in the 2+1 dimensional Zakharov-Kuznetsov equation. The Zakharov-Kuznetsov equation originally was the model in three dimensions of plasma with a uniform magnetic field and it is a direct extension of the KdV equation into higher dimensions and …