/ 94 10 04 8 v 1 7 O ct 1 99 4 The Moyal bracket and the dispersionless limit of the KP hierarchy
نویسنده
چکیده
A new Lax equation is introduced for the KP hierarchy which avoids the use of pseudo-differential operators, as used in the Sato approach. This Lax equation is closer to that used in the study of the dispersionless KP hierarchy, and is obtained by replacing the Poisson bracket with the Moyal bracket. The dispersionless limit, underwhich the Moyal bracket collapses to the Poisson bracket, is particularly simple.
منابع مشابه
Dressing Operator Approach to Moyal Algebraic Deformation of Selfdual Gravity
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