Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems
DOI10.1007/978-3-642-15274-0_13zbMath1202.65167OpenAlexW1558946705MaRDI QIDQ3589072
Zoia Kostova, Nikolay A. Kostov, Vladimir S. Gerdjikov
Publication date: 10 September 2010
Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-15274-0_13
Baker-Akhiezer functioncomputer algebraLax representationdifferential resultantalgebra of commuting differential operators
Symbolic computation and algebraic computation (68W30) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Numerical problems in dynamical systems (65P99)
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Cites Work
- Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation
- Nonlinear equations and elliptic curves
- Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
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