On the Toda and Kac-van Moerbeke systems

Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z.

doi:10.1090/S0002-9947-1993-1153014-1

On the Toda and Kac-van Moerbeke systems
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by F. Gesztesy, H. Holden, B. Simon and Z. Zhao PDF

Trans. Amer. Math. Soc. 339 (1993), 849-868 Request permission

Abstract:

Given a solution of the Toda lattice we explicitly construct a solution of the Kac-van Moerbeke system related to each other by a Miura-type transformation. As an illustration of our method we derive the $N$-soliton solutions of the Kac-van Moerbeke lattice.

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