Cascade method of Laplace integration for linear hyperbolic systems of equations

DOI10.1134/S0001434608010124zbMath1149.35305MaRDI QIDQ948564

B. E. Eshmatov

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

linear hyperbolic equationdifferential substitutionLaplace integrationcascade integration methodLaplace invariant

Mathematics Subject Classification ID

Second-order hyperbolic equations (35L10) Other special methods applied to PDEs (35A25)

Related Items (7)

Symmetry drivers and formal integrals of hyperbolic systems ⋮ On differential substitutions for evolution systems ⋮ Structure of set of symmetries for hyperbolic systems of Liouville type and generalized Laplace invariants ⋮ Refinement of two-factor factorizations of a linear partial differential operator of arbitrary order and dimension ⋮ Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators ⋮ Multiple Factorizations of Bivariate Linear Partial Differential Operators ⋮ Conditions for the existence and uniqueness of the solution of the Goursat problem for a system of equations with dominant partial derivatives;Условия существования и единственности решения задачи Гурса для системы уравнений с доминирующими частными производными

Cites Work

• Unnamed Item
• Integrals, solutions, and existence problems for Laplace transformations of linear hyperbolic systems
• On Laplace and Dini transformations for multidimensional equations with a decomposable principal symbol
• Exactly integrable hyperbolic equations of Liouville type

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