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.

引用

页码：121 / 126

页数：6

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