SECOND-ORDER QUASILINEAR PDEs AND CONFORMAL STRUCTURES IN PROJECTIVE SPACE

DOI10.1142/S0129167X10006215zbMath1198.35104arXiv0802.2626OpenAlexW2963439716MaRDI QIDQ3578416

P. A. Burovskiy, Evgeny V. Ferapontov, Sergey Petrovich Tsarev

Publication date: 20 July 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2626

zbMATH Keywords

IntegrabilityConservation lawsConformal structuresDispersionless Lax pairsHydrodynamic reductionsMultidimensional dispersionless integrable systems

Mathematics Subject Classification ID

Related Items (11)

Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations ⋮ Infinitely many nonlocal conservation laws for the \textit{ABC} equation with \(A+B+C\neq 0\) ⋮ Dispersionless Hirota equations and the genus 3 hyperelliptic divisor ⋮ Some exact solutions of \(ABC\) and Martínez Alonso-Shabat equations ⋮ On the linearization covering technique and its application to integrable nonlinear differential systems ⋮ Integrable pseudopotentials related to generalized hypergeometric functions ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ An effective algorithm for finding multidimensional conservation laws for integrable systems of hydrodynamic type ⋮ The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries ⋮ Characteristic integrals in 3D and linear degeneracy ⋮ Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation

Uses Software

• FORM

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