%0 DATA
%A E.V., Ferapontov
%A Jonathan, Moss
%D 2016
%T Characteristic integrals in 3D and linear degeneracy
%U https://repository.lboro.ac.uk/articles/Characteristic_integrals_in_3D_and_linear_degeneracy/9386177
%2 https://repository.lboro.ac.uk/ndownloader/files/16999373
%K Characteristic integrals
%K Principal symbol
%K Linear degeneracy
%K Dispersionless integrability
%K Veronese variety
%X Conservation laws vanishing along characteristic directions of a given system of PDEs are known as characteristic conservation laws, or characteristic integrals. In 2D, they play an important role in the theory of Darboux-integrable equations. In this paper we discuss characteristic integrals in 3D and demonstrate that, for a class of second order linearly degenerate dispersionless integrable PDEs, the corresponding characteristic integrals are parametrised by points on the Veronese variety.