Pierre van Moerbeke: the first 60 years
نویسندگان
چکیده
منابع مشابه
Adler-Shiota-van Moerbeke formula
We give an alternative proof of the Adler-Shiota-van Moerbeke formula for the BKP hierarchy. The proof is based on a simple expression for the generator of additional symmetries and the Fay identity of the BKP hierarchy. PACS: 02.30.Ik Mathematics Subject Classification (2000): 35Q58, 37K10
متن کاملOn the Toda and Kac-van Moerbeke Hierarchies
We provide a comprehensive treatment of the single and double commutation method as a tool for constructing soliton solutions of the Toda and Kac-van Moerbeke hierarchy on arbitrary background. In addition, we present a novel construction based on the single commutation method. As an illustration we compute the N -soliton solution of the Toda and Kac-van Moerbeke hierarchy.
متن کاملThe Adler-shiota-van Moerbeke Formula for the Bkp Hierarchy
We study the BKP hierarchy and prove the existence of an Adler– Shiota–van Moerbeke formula. This formula relates the action of the BW1+∞–algebra on tau–functions to the action of the “additional symmetries” on wave functions.
متن کاملOn the Toda and Kac-van Moerbeke Systems
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. We extend our previous work [1 1, 121 on conncections between the KortewegdeVries and modified Korteweg-deVries equation based on Miura's tr...
متن کاملA Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions
Using our previous work on reflectionless analytic difference operators and a nonlocal Toda equation, we introduce analytic versions of the Volterra and Kac-van Moerbeke lattice equations. The real-valued N -soliton solutions to our nonlocal equations correspond to self-adjoint reflectionless analytic difference operators with N bound states. A suitable scaling limit gives rise to the N -solito...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2005
ISSN: 0373-0956
DOI: 10.5802/aif.2138