Classification of Integrable (2+1)-Dimensional Quasilinear Hierarchies |
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| Authors: | E V Ferapontov K R Khusnutdinova M V Pavlov |
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| Institution: | (1) Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK;(2) Center for Nonlinear Studies, Landau Institute for Theoretical Physics, RAS, Moscow, Russia;(3) Institute for Mechanics, Ufa Science Center, RAS, Ufa, Russia |
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| Abstract: | We investigate the (2+1)-dimensional hierarchies associated with the integrable PDEs of the form Δ tt = F(Δxx, Δxt, Δxy), which generalize the dispersionless KP hierarchy. Integrability is understood as the existence of infinitely many hydrodynamic reductions.__________Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 1, pp. 35–43, July, 2005. |
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| Keywords: | integrable hierachies of dKP type hydrodynamic reductions pseudopotentials |
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