Nonlinear Beltrami equation and τ-function for dispersionless hierarchies
نویسندگان
چکیده
منابع مشابه
Beltrami equation and τ - function for dispersionless hierarchies
It is proved that the action for nonlinear Beltrami equation (quasi-classical ¯ ∂-problem) evaluated on its solution gives a τ-function for dis-persionless KP hierarchy. Infinitesimal transformations of τ-function corresponding to variations of ¯ ∂-data are found. Determinant equations for the function generating these transformations are derived. They represent a dispersionless analogue of sin...
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The Bäcklund transformations between the constrained dispersionless KP hierarchy (cdKPH) and the constrained dispersionless mKP hieararchy (cdmKPH) and between the dispersionless KP hieararchy with self-consistent sources (dKPHSCS) and the dispersionless mKP hieararchy with self-consistent sources (dmKPHSCS) are constructed. The auto-Bäcklund transformations for the cdmKPH and for the dmKPHSCS ...
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A higher dimensional analogue of the dispersionless KP hierarchy is introduced. In addition to the two-dimensional “phase space” variables (k, x) of the dispersionless KP hierarchy, this hierarchy has extra spatial dimensions compactified to a two (or any even) dimensional torus. Integrability of this hierarchy and the existence of an infinite dimensional of “additional symmetries” are ensured ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2004
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2004.01.033