Ferapontov, E.V.
Moss, Jonathan
Characteristic integrals in 3D and linear degeneracy
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.
Characteristic integrals;Principal symbol;Linear degeneracy;Dispersionless integrability;Veronese variety
2016-05-31
https://repository.lboro.ac.uk/articles/Characteristic_integrals_in_3D_and_linear_degeneracy/9386177