70 citations · 944 across the 99 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
nlin.SI2005★ 33 cited
Bi-Hamiltonian operators, integrable flows of curves using moving frames, and geometric map equations
Stephen C. Anco
Moving frames of various kinds are used to derive bi-Hamiltonian operators and associated hierarchies of multi-component soliton equations from group-invariant flows of non-stretch…
nlin.SI2005★ 25 cited
Hamiltonian Flows of Curves in symmetric spaces G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type
Stephen C. Anco
The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non-stretching cur…
math-ph2005
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…