The first-order Euler-Lagrange equations and some of their uses

@article{Adam2016TheFE,
  title={The first-order Euler-Lagrange equations and some of their uses},
  author={Christoph Adam and Fidel Santamar{\'i}a},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-32}
}
A bstractIn 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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How to find BPS equations in some submodels of the Skyrme model using the BPS Lagrangian method

  • A. N. AtmajaI. Prasetyo
  • Environmental Science, Mathematics
    PROCEEDINGS OF THE 4TH INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES (ISCPMS2018)
  • 2019
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