Zeros of rational functions and solvable nonlinear evolution equations

DOI10.1063/1.5033543zbMath1496.37058OpenAlexW2875190408WikidataQ56979150 ScholiaQ56979150MaRDI QIDQ4583110

Francesco Calogero

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5033543

zbMATH Keywords

isochronous solutionsmultiply periodic solutionstime-dependent polynomial

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (1)

Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations

Cites Work

• Unnamed Item
• Zeros of Polynomials and Solvable Nonlinear Evolution Equations
• A convenient expression of the time-derivative zn(k)(t) , of arbitrary order k, of the zero z _n (t) of a time-dependent polynomial p _N (z;t) of arbitrary degree N in z, and solvable dynamical systems
• Isochronous Systems
• Generations of solvable discrete-time dynamical systems
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

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