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arXiv · 1508.02229

Cauchy--Jost function and hierarchy of integrable equations

M. Boiti·F. Pempinelli·A. K. Pogrebkov
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Abstract

Properties of the Cauchy--Jost (known also as Cauchy--Baker--Akhiezer) function of the KPII equation are described. By means of the $\bar\partial$-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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M. Boiti, F. Pempinelli, A. K. Pogrebkov. 2015-08-10. Cauchy--Jost function and hierarchy of integrable equations. https://doi.org/10.1007/s11232-015-0367-y

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