2 citations · 2 across the 4 of their papers we have counts for
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Symmetries, conservation laws, and cohomology of Maxwell's equations using potentials
Stephen C. Anco, Dennis The
New nonlocal symmetries and conservation laws are derived for Maxwell's equations using a covariant system of joint vector potentials for the electromagnetic tensor field and its d…
Exact solutions of semilinear radial wave equations in n dimensions
Stephen C. Anco, Sheng Liu
Exact solutions are derived for an n-dimensional radial wave equation with a general power nonlinearity. The method, which is applicable more generally to other nonlinear PDEs, inv…
Symmetries and currents of massless neutrino fields, electromagnetic and graviton fields
Stephen C. Anco, Juha Pohjanpelto
A recent complete, explicit classification of all locally constructed symmetries and currents for free spinorial massless spin s fields on Minkowski space is summarized and extende…
Exotic Yang-Mills dilaton gauge theories
Stephen C. Anco
A exotic class of nonlinear p-form nonabelian gauge theories is studied, arising from the most general allowed nontrivial deformation of linear abelian gauge theory for a set of ma…
Direct construction method for conservation laws of partial differential equations. Part II: General treatment
Stephen C. Anco, George Bluman
This paper gives a general treatment and proof of the direct conservation law method presented in Part I. In particular, the treatment here applies to finding the local conservatio…
Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications
Stephen C. Anco, George Bluman
An effective algorithmic method is presented for finding the local conservation laws for partial differential equations with any number of independent and dependent variables. The…