Pseudo-Differential Operators and Integrable Models
M. B. Sedra
Abstract:The importance of the theory of pseudo-differential operators in the study of non linear integrable systems is point out. Principally, the algebra Ξ of nonlinear (local and nonlocal) differential operators, acting on the ring of analytic functions u s (x, t), is studied. It is shown in particular that this space splits into several classes of subalgebras Σ jr , j = 0, ±1, r = ±1 completely specified by the quantum numbers: s and (p, q) describing respectively the conformal weight (or spin) and the lowest and h… Show more
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