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

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

2005-01-15

arxiv.org/abs/cs/0501030v1

Computer Science

Symbolic Computation

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

Scientific paper

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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