TY - JOUR

T1 - Cauchy–Jost function and hierarchy of integrable equations

AU - Boiti, M.

AU - Pempinelli, F.

AU - Pogrebkov, A. K.

PY - 2015/11/1

Y1 - 2015/11/1

N2 - We describe the properties of the Cauchy–Jost (also known as Cauchy–Baker–Akhiezer) function of the Kadomtsev–Petviashvili-II equation. Using the (Formula Presented)-method, we show that for this function, all equations of the Kadomtsev–Petviashvili-II hierarchy are given in a compact and explicit form, including equations for the Cauchy–Jost function itself, time evolutions of the Jost solutions, and evolutions of the potential of the heat equation.

AB - We describe the properties of the Cauchy–Jost (also known as Cauchy–Baker–Akhiezer) function of the Kadomtsev–Petviashvili-II equation. Using the (Formula Presented)-method, we show that for this function, all equations of the Kadomtsev–Petviashvili-II hierarchy are given in a compact and explicit form, including equations for the Cauchy–Jost function itself, time evolutions of the Jost solutions, and evolutions of the potential of the heat equation.

KW - Cauchy–Jost function

KW - inverse problem

KW - KP-II equation

UR - http://www.scopus.com/inward/record.url?scp=84949294353&partnerID=8YFLogxK

U2 - 10.1007/s11232-015-0367-y

DO - 10.1007/s11232-015-0367-y

M3 - Article

AN - SCOPUS:84949294353

VL - 185

SP - 1599

EP - 1613

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 2

ER -