Cauchy--Jost function and hierarchy of integrable equations
Exactly Solvable and Integrable Systems
2016-01-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1508.02229,
title = {Cauchy--Jost function and hierarchy of integrable equations},
author = {M. Boiti and F. Pempinelli and A. K. Pogrebkov},
journal= {arXiv preprint arXiv:1508.02229},
year = {2016}
}