On the characteristic Lie algebras for equations \(u_{xy} = f(u, u_x)\)
From MaRDI portal
Publication:950862
DOI10.1007/s10958-008-9028-0zbMath1158.35312OpenAlexW2041783251MaRDI QIDQ950862
R. D. Murtazina, Anatoliy V. Zhiber
Publication date: 28 October 2008
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-008-9028-0
KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items
Conference ``Dynamics in Siberia dedicated to the 90th anniversary of B. V. Chirikov, Novosibirsk, Russia, February 26 -- March 4, 2018. Abstracts, Characteristic Lie algebras of the sinh-Gordon and Tzitzeica equations, Algebraic properties of quasilinear two-dimensional lattices connected with integrability, On a class of Darboux-integrable semidiscrete equations, Characteristic algebras and integrable exponential systems, On discretization of Darboux Integrable Systems admitting second-order integrals, Lie algebras of slow growth and Klein-Gordon PDE, Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ring, Integrability conditions for two-dimensional Toda-like equations
Cites Work
