CLASSIFICATION OF INTEGRABLE (2+1)-DIMENSIONAL QUASILINEAR HIERARCHIES

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Abstract

We investigate the (2+1)-dimensional hierarchies associated with the integrable PDEs of the form Ω tt = F(Ωxx, Ωxt, Ωxy), which generalize the dispersionless KP hierarchy. Integrability is understood as the existence of infinitely many hydrodynamic reductions.

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