ar X iv : 0 81 0 . 24 27 v 3 [ m at h - ph ] 2 1 A pr 2 00 9 The multicomponent 2 D Toda hierarchy : dispersionless limit Manuel Mañas and Luis Mart́ınez
نویسندگان
چکیده
The factorization problem of the multi-component 2D Toda hierarchy is used to analyze the dispersionless limit of this hierarchy. A dispersive version of the Whitham hierarchy defined in terms of scalar Lax and Orlov–Schulman operators is introduced and the corresponding additional symmetries and string equations are discussed. Then, it is shown how KP and Toda pictures of the dispersionless Whitham hierarchy emerge in the dispersionless limit. Moreover, the additional symmetries and string equations for the dispersive Whitham hierarchy are studied in this limit.
منابع مشابه
The multicomponent 2D Toda hierarchy: Dispersionless limits
In this paper we discuss the dispersionless limit of the multicomponent 2D Toda hierarchy. The discrete flows of the hierarchy are used to define charge preserving Lax and Orlov–Schulman operators. This construction allows us to perform two types of dispersionless limits, one type leads to the 0-genus universal Whitham hierarchy while the other leads to a dispersionless hierarchy which contains...
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