@misc{Wolf2005, author = {Wolf, Thomas}, title = {Partial and complete linearization of PDEs based on conservation laws}, arxiv = {http://arxiv.org/abs/nlin.SI/0501034}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8409}, number = {05-06}, year = {2005}, abstract = {A method based on infinite parameter conservation laws is described to factor linear differential operators out of nonlinear partial differential equations (PDEs) or out of differential consequences of nonlinear PDEs. This includes a complete linearization to an equivalent linear PDE (-system) if that is possible. Infinite parameter conservation laws can be computed, for example, with the computer algebra package {\sc ConLaw}.}, language = {en} } @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} }