Learning Effective Soliton Dynamics from Scattering Data

arXiv stat.ML4w4 min read

arXiv:2607.01545v1 Announce Type: cross Abstract: The inverse scattering transform (IST) provides the standard theoretical framework for deriving soliton dynamics. Traditionally, such derivations have been of an analytical, rather than data-driven, nature. In this paper, we combine the conceptual framework of the IST with weak-form system identification methods to discover effective soliton dynamics directly from observed scattering data, without assuming prior knowledge of the scattering equations. Our method avoids parameterizing solitary waves via ad hoc curve-fitting by working in the scat

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Learning Effective Soliton Dynamics from Scattering Data

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