Generalized Laplace transformations and integration of hyperbolic systems of linear partial differential equations

2005/01/15 by S. P. Tsarëv, Sergey P. Tsarev, Tsarev, Sergey P.
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Numerical methods for differential equations #Polynomial and algebraic computation #Symbolic Computation (cs.SC) #cs.SC #math.AP #nlin.SI

paper · pdf · doi:10.48550/arxiv.cs/0501030

LaTeX, 17 pages, Submitted to ISSAC 2005, Beijing, China, July 24--27 2005

arxiv created 2005/01/15 · openalex publication_date 2005/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new procedure for generalized factorization and construction of the complete solution of strictly hyperbolic linear partial differential equations or strictly hyperbolic systems of such equations in the plane. This procedure generalizes the classical theory of Laplace transformations of second-order equations in the plane.

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