Connecting KP and Strict KP with Their Discrete Versions

In this paper, we describe how the wave matrices of the discrete KP hierarchy and its strict version relate to respectively the wave functions of the KP hierarchy and those of its strict version. This fact enables one to express the matrix coefficients of the perturbation part of the wave matrices of both discrete versions in a series of Fredholm determinants.

Authors

Institutions

Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1995080224605629
Citations
2
Primary Topic
Numerical methods in engineering
Type
article
Field-Weighted Citation Impact
0.54
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Connecting KP and Strict KP with Their Discrete Versions

G. F. Helminck, С. В. Поленкова, Владимир Андреевич Побережный
2 citations
Lobachevskii Journal of Mathematics
Numerical methods in engineering
0.54
article

Connecting KP and Strict KP with Their Discrete Versions

G. F. Helminck, С. В. Поленкова, Владимир Андреевич Побережный
article en
2 citations

Abstract

In this paper, we describe how the wave matrices of the discrete KP hierarchy and its strict version relate to respectively the wave functions of the KP hierarchy and those of its strict version. This fact enables one to express the matrix coefficients of the perturbation part of the wave matrices of both discrete versions in a series of Fredholm determinants.

Lobachevskii Journal of MathematicsVol. 45(10)
National Research University Higher School of Economics (RU), University of Amsterdam (NL), University of Twente (NL)
Openalex Percentile: Top 37%
Numerical methods in engineering
0.54
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.