The symbolic computation of integrability structures for partial differential equations

From MaRDI portal
Publication:1692400

DOI10.1007/978-3-319-71655-8zbMath1407.68015OpenAlexW2796105285MaRDI QIDQ1692400

Raffaele Vitolo, Alexander Verbovetskiy, Joseph Krasil'shchik

Publication date: 9 January 2018

Published in: Texts \& Monographs in Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-71655-8




Related Items (30)

Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux modelIntegrability properties of the four-dimensional equation of universal hierarchyInfinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equationOn the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equationIntegrable partial differential equations and Lie-Rinehart algebrasComplete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equationProjective-geometric aspects of bi-Hamiltonian structures of KdV typeLax representations via twisted extensions of infinite-dimensional Lie algebras: some new resultsA Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersionsNon-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equationThe Calogero-Bogoyavlenskii-Schiff breaking soliton equation: recursion operators and higher symmetriesOn recursion operators for symmetries of the Pavlov-Mikhalev equationHigher symmetries of the cotangent covering for the modified Veronese web equationThe quasigeostrophic two-layer model: Lax representations and conservation lawsGeneralized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equationIntegrability structures of the generalized Hunter-Saxton equationLax pairs, recursion operators and bi-Hamiltonian representations of \((3+1)\)-dimensional Hirota type equationsIntegrable \((3 + 1)\)-dimensional system with an algebraic Lax pair\(N\)-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equationA look on some results about Camassa-Holm type equationsThe dispersionless Veselov-Novikov equation: symmetries, exact solutions, and conservation lawsRecursion operators in the cotangent covering of the rdDym equationIntegrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation lawsNonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein-Weyl structures and the Gibbons-Tsarev equationIsospectral deformation of the reduced quasi-classical self-dual Yang-Mills equationNonexistence of local conservation laws for generalized Swift-Hohenberg equationNonlocal symmetries, conservation laws, and recursion operators of the Veronese web equationRecursion operators for multidimensional integrable PDEsLagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equationSymmetry nonintegrability for extended \(K(m, n, p)\) equation


Uses Software



This page was built for publication: The symbolic computation of integrability structures for partial differential equations