On the invariant variational principle for Sturm-Liouville equation, linear and nonlinear Dirac system
Faculty of Sciences. Physics
Il nuovo cimento : A / SocietÓ italiana di fisica. - Bologna, 1965 - 1971
, p. 1297-1311
University of Antwerp
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-parameter group of transformations (Lie group). Finally, conservation laws are obtained through the applications of the invariant variational principle technique and classes of solutions are given in some cases.