Persons: Helminck, Gerard F

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Helminck, Gerard F

Statistics Math-Net.Ru
Total publications:	20
Scientific articles:	20
Presentations:	5

Number of views:
This page:	3023
Abstract pages:	7485
Full texts:	2572
References:	1023

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https://www.mathnet.ru/eng/person59990

List of publications on Google Scholar

https://orcid.org/0000-0001-7022-5852

	Publications in Math-Net.Ru	Citations
	2024
1.	G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Darboux transformations for the discrete versions of the KP and strict KP hierarchies”, TMF, 221:3 (2024), 503–522 ; Theoret. and Math. Phys., 221:3 (2024), 2031–2048
	2023
2.	G. F. Helminck, “Cauchy problems related to integrable matrix hierarchies”, TMF, 216:2 (2023), 251–270 ; Theoret. and Math. Phys., 216:2 (2023), 1124–1141
	2022
3.	G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version”, TMF, 213:1 (2022), 41–56 ; Theoret. and Math. Phys., 213:1 (2022), 1348–1361
	2021
4.	G. F. Helminck, E. A. Panasenko, “Darboux transformations for the strict KP hierarchy”, TMF, 206:3 (2021), 339–360 ; Theoret. and Math. Phys., 206:3 (2021), 296–314	2
5.	G. F. Helminck, J. A. Weenink, “Homogeneous spaces yielding solutions of the $k[S]$-hierarchy and its strict version”, Russian Universities Reports. Mathematics, 26:135 (2021), 315–336
	2020
6.	G. F. Helminck, E. A. Panasenko, “Reductions of the strict KP hierarchy”, TMF, 205:2 (2020), 190–207 ; Theoret. and Math. Phys., 205:2 (2020), 1411–1425	3
7.	G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Extensions of the discrete KP hierarchy and its strict version”, TMF, 204:3 (2020), 367–382 ; Theoret. and Math. Phys., 204:3 (2020), 1140–1153
8.	G. F. Helminck, E. A. Panasenko, “Scaling invariance of the strict KP hierarchy”, Russian Universities Reports. Mathematics, 25:131 (2020), 331–340
9.	G. F. Helminck, E. A. Panasenko, “Properties of the algebra psd related to integrable hierarchies”, Russian Universities Reports. Mathematics, 25:130 (2020), 183–195
	2019
10.	G. F. Helminck, “A geometric construction of solutions of the strict $\mathbf h$-hierarchy”, TMF, 200:1 (2019), 72–95 ; Theoret. and Math. Phys., 200:1 (2019), 985–1005
11.	G. F. Helminck, E. A. Panasenko, “Expressions in Fredholm determinants for solutions of the strict KP hierarchy”, TMF, 199:2 (2019), 193–209 ; Theoret. and Math. Phys., 199:2 (2019), 637–651	3
12.	G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems”, TMF, 198:2 (2019), 225–245 ; Theoret. and Math. Phys., 198:2 (2019), 197–214	7
13.	G. F. Helminck, E. A. Panasenko, “Geometric solutions of the strict KP hierarchy”, TMF, 198:1 (2019), 54–78 ; Theoret. and Math. Phys., 198:1 (2019), 48–68	12
	2017
14.	G. F. Helminck, “An integrable hierarchy including the AKNS hierarchy and its strict version”, TMF, 192:3 (2017), 444–458 ; Theoret. and Math. Phys., 192:3 (2017), 1324–1336
	2015
15.	G. F. Helminck, E. A. Panasenko, S. V. Polenkova, “Bilinear equations for the strict KP hierarchy”, TMF, 185:3 (2015), 512–526 ; Theoret. and Math. Phys., 185:3 (2015), 1803–1815	3
	2013
16.	G. F. Helminck, A. G. Helminck, E. A. Panasenko, “Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective”, TMF, 174:1 (2013), 154–176 ; Theoret. and Math. Phys., 174:1 (2013), 134–153	18
	2011
17.	R. R. Gontsov, V. A. Poberezhnyi, G. F. Helminck, “On deformations of linear differential systems”, Uspekhi Mat. Nauk, 66:1(397) (2011), 65–110 ; Russian Math. Surveys, 66:1 (2011), 63–105	6
	2010
18.	G. F. Helminck, V. A. Poberezhnyi, “Moving poles of meromorphic linear systems on $\mathbb P^1(\mathbb C)$ in the complex plane”, TMF, 165:3 (2010), 472–487 ; Theoret. and Math. Phys., 165:3 (2010), 1637–1649	1
19.	G. F. Helminck, A. G. Helminck, A. V. Opimakh, “The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies”, TMF, 165:3 (2010), 440–471 ; Theoret. and Math. Phys., 165:3 (2010), 1610–1636	3
	2008
20.	G. F. Helminck, S. V. Polenkova, “An analytic framework for the two-dimensional infinite Toda hierarchy associated with a commutative algebra”, TMF, 155:1 (2008), 177–192 ; Theoret. and Math. Phys., 155:1 (2008), 659–672

Presentations in Math-Net.Ru

1.	A construction of solutions of an integrable deformation of a commutative Lie algebra of skew Hermitian $\mathbb{Z}\times\mathbb{Z}$-matrices G. F. Helminck Cohomological geometry of differential equations April 17, 2024 19:20
2.	Integrable deformations in the NxN matrices G. F. Helminck International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 3, 2022 15:10
3.	Darboux transformations of integrable hierarchies in the pseudo-difference operators G. F. Helminck International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov September 23, 2021 11:40
4.	Integrable deformations in pseudo difference operators Г. Ф. Хельминк International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information Technologies of Derzhavin Tambov State University October 14, 2020 11:00
5.	Relations between Toda and KdV-type hierarchies G. F. Helminck International conference "Geometrical Methods in Mathematical Physics" December 16, 2011 14:45

Organisations

Korteweg-de Vries Institute for Mathematics, University of Amsterdam

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