Cauchy--Jost function and hierarchy of integrable equations
Boiti, M. · Pempinelli, F. · Pogrebkov, A. K.
Original · EN
Properties of the Cauchy--Jost (known also as Cauchy--Baker--Akhiezer) function of the KPII equation are described. By means of the ∂-problem for this function it is shown that all equations of the KPII hierarchy are given in a compact and explicit form, including equations on the Cauchy--Jost function itself, time evolutions of the Jost solutions and evolutions of the potential of the heat equation.
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