Exactly integrable hyperbolic equations of Liouville type

2001/02/28 by А. В. Жибер, A V Zhiber, В. В. Соколов +1 · 11 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems #Nonlinear Waves and Solitons

paper · doi:10.1070/rm2001v056n01abeh000357

crossref issued 2001/02/28 · crossref published 2001/02/28 · crossref published-print 2001/02/28 · openalex publication_date 2001/02/28 · crossref created 2002/08/24 · crossref published-online 2007/10/17 · crossref deposited 2025/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11 · crossref indexed 2026/08/02

Abstract

This is a survey of the authors' results concerning non-linear hyperbolic equations of Liouville type. The definition is based on the condition that the chain of Laplace invariants of the linearized equation be two-way finite. New results include a procedure for finding the general solution and a solution of the classification problem for Liouville type equations.

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