2013/12/18 by E. V. Ferapontov, Jonathan Moss, Ferapontov, E. V. +2
Mathematics · Physics and Astronomy · #35A30 #37K10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #math.DG #msc:35A30 #msc:37K10 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1312.5266
arxiv created 2013/12/18 · openalex publication_date 2013/12/18 · arxiv updated 2013/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.