Partner symmetries and non-invariant solutions of four-dimensional heavenly equations

DOI10.1088/0305-4470/37/30/010zbMath1067.83006arXivmath-ph/0403020OpenAlexW3100762571MaRDI QIDQ3157490

Yavuz Nutku, Andrei A. Malykh, Mikhail B. Sheftel

Publication date: 19 January 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0403020

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with relativity and gravitational theory (35Q75) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (17)

A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ Nonlocal symmetries of integrable linearly degenerate equations: a comparative study ⋮ Recursion operators and bi-Hamiltonian structure of the general heavenly equation ⋮ Lift of Invariant to Non-Invariant Solutions of Complex Monge-Ampère Equations ⋮ Five-dimensional Lax-integrable equation, its reductions and recursion operator ⋮ Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations ⋮ Bi-Hamiltonian Representation, Symmetries and Integrals of Mixed Heavenly and Husain Systems ⋮ Nonlocal symmetries of Plebański’s second heavenly equation ⋮ Type II hidden symmetries of the second heavenly equation ⋮ Type II hidden symmetries through weak symmetries for some wave equations ⋮ Classification of the Weyl curvature spinors of neutral metrics in four dimensions ⋮ Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation ⋮ Generalization of bi-Hamiltonian systems in \((3+1)\) dimension, possessing partner symmetries ⋮ Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation ⋮ Recursion operators for multidimensional integrable PDEs ⋮ Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation ⋮ SDiff(2) and uniqueness of the Plebański equation

This page was built for publication: Partner symmetries and non-invariant solutions of four-dimensional heavenly equations