This article is cited in 5 papers

METHODS OF THEORETICAL PHYSICS

Volterra chain and Catalan numbers

V. E. Adler, A. B. Shabat

Landau Institute for Theoretical Physics, Russian Academy of Science, Chernogolovka, Russia

Abstract: We consider the Cauchy problem for the Volterra chain with an initial condition equal to 0 in one node and 1 in the others. It is shown that this problem admits an exact solution in terms of the Bessel functions. The Taylor series arising here are related to the exponential generating function for the Catalan numbers.

Received: 30.10.2018

DOI: 10.1134/S0370274X18240116

 English version: Journal of Experimental and Theoretical Physics Letters, 2018, 108:12, 825–828

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