Rational solutions of Riccati-like partial differential equations

DOI10.1006/jsco.2001.0461zbMath0985.34007OpenAlexW2102976686MaRDI QIDQ5937885

Fritz Schwarz, Ziming Li

Publication date: 10 May 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1a1810c4fc7027c71d1cd579dae074c673744ff3

zbMATH Keywords

algorithmrational functionRiccati equationsecond-order ordinary differential equationscoherent systemdifferential polynomialsnonlinear PDEs

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear higher-order PDEs (35G20) Algorithms for approximation of functions (65D15) Solutions to PDEs in closed form (35C05)

Related Items

Factoring systems of linear PDEs with finite-dimensional solution spaces, Loewy decomposition of linear differential equations, Descent of ordinary differential equations with rational general solutions, A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs

Uses Software

• ALLTYPES

Cites Work

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