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The First-Order Euler-Lagrange equations and some of their uses

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arxiv 1609.02154 v1 pith:22YF6DIG submitted 2016-09-07 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords equationsordereuler-lagrangefieldnonlinearapplybogomolnyicharacter
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In many nonlinear field theories, relevant solutions may be found by reducing the order of the original Euler-Lagrange equations, e.g., to first order equations (Bogomolnyi equations, self-duality equations, etc.). Here we generalise, further develop and apply one particular method for the order reduction of nonlinear field equations which, despite its systematic and versatile character, is not widely known.

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  1. Further comments on BPS systems

    hep-th 2019-08 conditional novelty 5.0 of 10

    In a two-field BPS sine-Gordon model, static soliton solutions are numerically shown to exhibit very slow attraction or repulsion caused by numerical noise exciting extra zero modes.

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