Ah. Khater et al., ON THE INVARIANT VARIATIONAL PRINCIPLE FOR STURM-LIOUVILLE EQUATION, LINEAR AND NONLINEAR DIRAC SYSTEM, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 110(11), 1997, pp. 1297-1311
The functional integrals corresponding to Sturm-Liouville equation and
linear as well as nonlinear Dirac system are derived. The invariance
of the resulting functional integrals are studied under a one-paramete
r group of transformations (Lie group). Finally, conservation laws are
obtained through the applications of the invariant variational princi
ple technique and classes of solutions are given in some cases.