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Corpus ID: 234341159

Reduction of nonlinear field theory equations to envelope models: towards a universal understanding of analogues of relativistic systems

@inproceedings{Robson2021ReductionON,
title={Reduction of nonlinear field theory equations to envelope models: towards a universal understanding of analogues of relativistic systems},
author={Charles W. Robson and Fabio Biancalana},
year={2021}
}

We investigate a novel mapping between solutions to several members of the Klein-Gordon family of equations and solutions to equations describing their reductions via the slowly varying envelope approximation. This mapping creates a link between the study of interacting relativistic fields and that of systems more amenable to laboratory-based analogue research, the latter described by nonlinear Schrödinger equations. A new evolution equation is also derived, emerging naturally from the sine… Expand

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