Abstract
Recent findings concerning the zeros of generic polynomials are extended to entire functions featuring infinitely many distinct zeros, and related systems of infinitely many nonlinearly coupled evolution ODEs and PDEs are identified, the solutions of which display interesting properties.
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 196, No. 2, pp. 193–214, August, 2018.
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Calogero, F. Zeros of Entire Functions and Related Systems of Infinitely Many Nonlinearly Coupled Evolution Equations. Theor Math Phys 196, 1111–1128 (2018). https://doi.org/10.1134/S0040577918080020
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DOI: https://doi.org/10.1134/S0040577918080020