Abstract
In the present paper we propose a new proof of the Grosset—Veselov formula connecting one-soliton solution of the Korteweg—de Vries equation to the Bernoulli numbers. The approach involves Eulerian numbers and Riccati’s differential equation.
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This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Rządkowski, G. Bernoulli Numbers and Solitons — Revisited. J Nonlinear Math Phys 17, 121–126 (2010). https://doi.org/10.1142/S1402925110000635
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DOI: https://doi.org/10.1142/S1402925110000635