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Title
Cited by
Cited by
Year
(1+ 1)-dimensional integrable systems as symmetry constraints of (2+ 1)-dimensional systems
B Konopelchenko, J Sidorenko, W Strampp
Physics Letters A 157 (1), 17-21, 1991
3091991
Symmetry constraints of the KP hierarchy
J Sidorenko, W Strampp
Inverse Problems 7 (6), L37, 1991
761991
Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
J Sidorenko, W Strampp
Journal of mathematical physics 34 (4), 1429-1446, 1993
751993
Hierarchy of the Kadomtsev-Petviashvili equations under nonlocal constraints: many-dimensional generalizations and exact solutions of reduced system
AM Samoilenko, VG Samoilenko, YM Sidorenko
Ukrainian Mathematical Journal 51 (1), 86-106, 1999
211999
Hamiltonian structures of the Melnikov system and its reductions
W Oevel, J Sidorenko, W Strampp
Inverse Problems 9 (6), 737, 1993
201993
A spatial two-dimensional generalization of the Kadomtsev–Petviashvili hierarchy with nonlocal constraints
O Mitropol’s’kii Yu, VG Samoilenko, M Sidorenko Yu
Dopov. Nats. Akad. Nauk Ukr, 19-23, 1999
17*1999
Sydorenko Yu
AK Prykarpatsky, D Blackmore, W Strampp
Samuliak R., Some remarks on Lagrangian and Hamiltonian formalism, related …, 1995
171995
Integrating some (2+ 1)-dimensional integrable systems by methods of inverse scattering problem and binary Darboux transformations
MD Pochynaiko, YM Sydorenko
Matematychni studii 20, 119-132, 2003
152003
Elliptic bundle and generating operators
YN Sidorenko
Zapiski Nauchnykh Seminarov POMI 161, 76-87, 1987
141987
Á³íàðí³ ïåðåòâîðåííÿ ïðîñòîðîâî-äâîâèì³ðíèõ ³íòåãðîäèôåðåíö³àëüíèõ îïåðàòîð³â ³ ð³âíÿíü Ëàêñà
Þ Ñèäîðåíêî, Î ×âàðòàöüêèé
³ñíèê Êè¿âñüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó ³ìåí³ Òàðàñà Øåâ÷åíêà …, 2009
12*2009
Generalized binary Darboux-like theorem for constrained Kadomtsev-Petviashvili (cKP) flows
Y Sydorenko
Proceedings of Institute of Mathematics of NAS of Ukraine 50 (Part 1), 470-477, 2004
122004
The exact solutions of some multicomponent integrable models
YY Berkela, YM Sidorenko
Mat. Stud 17, 47-58, 2002
92002
Iºðàðõiÿ ðiâíÿíü Êàäîìöåâà-Ïåòâiàøâiëi ç íåëîêàëüíèìè â’ÿçÿìè: Áàãàòîâèìiðíi óçàãàëüíåííÿ òà òî÷íi ðîçâ’ÿçêè ðåäóêîâàíèõ ñèñòåì
ÀÌ Ñàìîéëåíêî, ÂÃ Ñàìîéëåíêî, ÞÌ Ñèäîðåíêî
Óêð. ìàò. æóðí 51 (1), 78-97, 1999
91999
Matrix generalizations of integrable systems with Lax integro-differential representations
O Chvartatskyi, Y Sydorenko
Journal of Physics: Conference Series 411 (1), 012010, 2013
72013
Iºðàðõiÿ ìàòðè÷íèõ ðiâíÿíü Áþðãåðñà i iíòåãðîâíi ðåäóêöi¿ â ñèñòåìi Äåâi-Ñòþàðäñîíà
ÂÃ Ñàìîéëåíêî, ÞÌ Ñèäîðåíêî
Óêð. ìàò. æóðí 50 (2), 252-264, 1998
7*1998
A new bidirectional generalization of (2+ 1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy
OI Chvartatskyi, YM Sydorenko
Journal of Mathematical Physics 54 (11), 2013
62013
Operators of Binary Darboux Transformations for Dirac's System
YS Marta Pochynayko
Proceedings of Institute of Mathematics of NAS of Ukraine 50 (Part 1), 458-461, 2004
52004
Iíòåãðóâàííÿ äåÿêèõ (2+ 1)-âèìiðíèõ iíòåãðîâíèõ ñèñòåì ìåòîäàìè îáåðíåíî¿ çàäà÷i ðîçñiÿííÿ òà áiíàðíèõ ïåðåòâîðåíü Äàðáó
ÌÄ Ïî÷èíàéêî, ÞÌ Ñèäîðåíêî
Ìàòåìàòè÷íi ñòóäi¿ 20 (2), 119-132, 2003
52003
Transformation operators for integrable hierarchies with additional reductions
YM Sidorenko
Proceedings of Institute of Mathematics of NAS of Ukraine 43 (Part 1), 352-357, 2002
52002
Darboux transformations for (2+ 1)-dimensional extensions of the KP hierarchy
O Chvartatskyi, Y Sydorenko
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11, 028, 2015
42015
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Articles 1–20