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Published October 1993 | public
Journal Article

On the Toda and Kac-van Moerbeke systems

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.

Additional Information

© 1993 American Mathematical Society. Dedicated to Michael J. Moravcsik (1928-1989) Received by the editors July 22, 1991. The second and third authors were partially supported by USNSF Grant DMS-8801918.

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023