BERNOULLI NUMBERS AND SOLITONS - REVISITED

被引：5
|
作者：
Rzadkowski, Grzegorz [1 ]
机构：
[1] Cardinal Stefan Wyszynski Univ Warsaw, Fac Math & Nat Sci, PL-01815 Warsaw, Poland
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2010年 / 17卷 / 01期
关键词：
Eulerian numbers; Riccati's equation; Bernoulli numbers; KdV equation; soliton; POLYNOMIALS;
D O I：
10.1142/S1402925110000635
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：121 / 126
页数：6
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