Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the Toda and Kac-van Moerbeke systems

Authors: F. Gesztesy, H. Holden, B. Simon and Z. Zhao
Journal: Trans. Amer. Math. Soc. 339 (1993), 849-868
MSC: Primary 58F07; Secondary 35Q58
MathSciNet review: 1153014
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58F07, 35Q58

Retrieve articles in all journals with MSC: 58F07, 35Q58

Additional Information

Article copyright: © Copyright 1993 American Mathematical Society