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

Abstract

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.

Latex, 29 pages

References in corpus (8)

• Generalized Global Defect Solutions
• Hidden supersymmetry of domain walls and cosmologies
• Braneworld Models of Scalar Fields with Generalized Dynamics
• k-defects as compactons
• BPS Skyrmions as neutron stars
• Kinks in a non-linear massive sigma model
• First-order framework and domain-wall/brane-cosmology correspondence
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Cited by in corpus (2)

• The ${\varphi }^4$ model with the BPS preserving defect
• Radially symmetric scalar solitons