4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP12(2016)047

Keywords

Field Theories in Lower Dimensions; Solitons Monopoles and Instantons; Integrable Field Theories

Funding

  1. Ministry of Education, Culture, and Sports, Spain [FPA 2014-58-293-C2-1-P]
  2. Xunta de Galicia [INCITE09.296.035PR]
  3. Xunta de Galicia (Conselleria de Educacion)
  4. Spanish Consolider-Ingenio Programme CPAN [CSD2007-00042]
  5. FEDER

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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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