Method of characteristics and first integrals for systems of quasi-linear partial differential equations of first order

DOI10.1007/s11425-014-4942-8zbMath1327.35005OpenAlexW2050724187MaRDI QIDQ498129

Jong-Do Park, Chong-Kyu Han

Publication date: 25 September 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4942-8

zbMATH Keywords

Frobenius theoremoverdetermined PDE system

Mathematics Subject Classification ID

Pfaffian systems (58A17) Geometric theory, characteristics, transformations in context of PDEs (35A30) Overdetermined systems of PDEs with variable coefficients (35N10) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Related Items (3)

Invariant submanifolds for systems of vector fields of constant rank ⋮ Maximal domains of solutions for analytic quasilinear differential equations of first order ⋮ Quasi-linear systems of PDE of first order with Cauchy data of higher codimensions

Cites Work

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• GENERALIZATION OF THE FROBENIUS THEOREM ON INVOLUTIVITY
• Riemann Invariants and Rank-k Solutions of Hyperbolic Systems
• Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs
• Differential Systems and Isometric Embeddings.(AM-114)
• Invariants of Pfaffian Systems

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