On the Goursat classification problem

DOI10.1134/S0361768812020041zbMath1255.35165OpenAlexW2152828563MaRDI QIDQ1758702

Oleg V. Kaptsov

Publication date: 16 November 2012

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768812020041

zbMATH Keywords

algorithm for finding the characteristic invariantsequations possessing two characteristic invariantstwo Laine's equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65)

Related Items (7)

Special class of Liouville-type hyperbolic equations ⋮ On Bäcklund transformations preserving the Darboux integrability of hyperbolic equations ⋮ Algebraic reductions of discrete equations of Hirota-Miwa type ⋮ On the problem of classifying integrable chains with three independent variables ⋮ Discretization of Liouville type nonautonomous equations preserving integrals ⋮ On the discretization of Laine equations ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

Uses Software

• REDUCE

Cites Work

• Exactly integrable hyperbolic equations of Liouville type
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