60 citations · 229 across the 20 of their papers we have counts for
20 papers
KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matrices
M. Boiti, F. Pempinelli, A. K. Pogrebkov
Direct definition of the Cauchy-Jost (known also as Cauchy-Baker-Akhiezer) function in the case of pure solitonic solution is given and properties of this function are discussed in…
Cauchy--Jost function and hierarchy of integrable equations
M. Boiti, F. Pempinelli, A. K. Pogrebkov
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 s…
IST of KPII equation for perturbed multisoliton solutions
M. Boiti, F. Pempinelli, A. K. Pogrebkov
The Direct and the Inverse Scattering Problems for the heat operator with a potential being a perturbation of an arbitrary soliton potential are formulated. We introduce Jost s…
Extended resolvent of heat operator with multisoliton potential
M. Boiti, F. Pempinelli, A. K. Pogrebkov
The heat operator with a general multisoliton potential is considered and its extended resolvent, depending on a parameter is derived. Its boundedness properties in all…
Green's function of heat operator with pure soliton potential
M. Boiti, F. Pempinelli, A. K. Pogrebkov
The heat operator with a pure soliton potential is considered and its Green's function, depending on a complex spectral parameter k, is derived. Its boundedness properties in all v…
Heat operator with pure soliton potential: properties of Jost and dual Jost solutions
M. Boiti, F. Pempinelli, A. Pogrebkov
Properties of Jost and dual Jost solutions of the heat equation, and , in the case of a pure solitonic potential are studied in detail. We describe their analytica…