@misc{AncoWolf2005, author = {Anco, Stephen and Wolf, Thomas}, title = {Some classifications of hyperbolic vector evolution equations}, arxiv = {http://arxiv.org/abs/nlin.SI/0412015}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8429}, number = {05-08}, year = {2005}, abstract = {Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several \$O(N)\$-invariant classes of hyperbolic equations \$Utx=f(U,Ut,Ux)\$ for an \$N\$-component vector \$U(t,x)\$ are considered. In each class we find all scaling-homogeneous equations admitting a higher symmetry of least possible scaling weight. Sigma model interpretations of these equations are presented.}, language = {en} }