|
|||||
|
|
BERNOULLI NUMBERS AND SOLITONS — REVISITED |
|
| 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. |
| Keywords: | Eulerian numbers Riccati's equation Bernoulli numbers KdV equation soliton |