Tau Functions Associated to Pseudodifferential Operators of Several Variables

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Tau Functions Associated to Pseudodifferential Operators of Several Variables

Pseudodifferential operators of several variables are formal Laurent series in the formal inverses of ∂1, . . . , ∂n with ∂i = d/dxi for 1 ≤ i ≤ n. As in the single variable case, Lax equations can be constructed using such pseudodifferential operators, whose solutions can be provided by Baker functions. We extend the usual notion of tau functions to the case of pseudodifferential operators of ...

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2002

ISSN: 1776-0852

DOI: 10.2991/jnmp.2002.9.4.10