60 citations · 156 across the 14 of their papers we have counts for
14 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…
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…
Properties of the solitonic potentials of the heat operator
M. Boiti, F. Pempinelli, A. K. Pogrebkov
Properties of the pure solitonic -function and potential of the heat equation are studied in detail. We describe the asymptotic behavior of the potential and identify the ray st…