Xue Wang, Dianlou Du, “A nonlocal finite-dimensional integrable system related to the nonlocal nonlinear Schrödinger equation hierarchy”, Int. J. Geom. Methods Mod. Phys., 21:02 (2024)
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev, “Applications of Nijenhuis Geometry V: Geodesic Equivalence and Finite-Dimensional Reductions of Integrable Quasilinear Systems”, J Nonlinear Sci, 34:2 (2024)
Allan P. Fordy, Qing Huang, “Stationary coupled KdV hierarchies and related Poisson structures”, Journal of Geometry and Physics, 197 (2024), 105079
Victor M. Buchstaber, Alexander V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, Open Commun. in Nonlin. Math. Physics, 2024, no. 1, 1–36
Allan P Fordy, “Scaling symmetry reductions of coupled KdV systems”, J. Phys. A: Math. Theor., 57:45 (2024), 455205
Allan P. Fordy, Qing Huang, “Stationary Flows Revisited”, SIGMA, 19 (2023), 015, 34 pp.
Maciej Błaszak, Błażej M. Szablikowski, Krzysztof Marciniak, “Stäckel representations of stationary Kdv systems”, Reports on Mathematical Physics, 92:3 (2023), 323
Дянь-Лоу Ду, Сюэ Ван, “Новые конечномерные гамильтоновы системы со смешанной пуассоновой структурой для уравнения КдФ”, ТМФ, 211:3 (2022), 361–374; Dianlou Du, Xue Wang, “A new finite-dimensional Hamiltonian systems with a mixed Poisson structure for the KdV equation”, Theoret. and Math. Phys., 211:3 (2022), 745–757
О. И. Мохов, Н. А. Стрижова, “Интегрируемость по Лиувиллю редукции уравнений ассоциативности на множество стационарных точек интеграла в случае трех примарных полей”, УМН, 74:2(446) (2019), 191–192; O. I. Mokhov, N. A. Strizhova, “Liouville integrability of the reduction of the associativity equations on the set of stationary points of an integral in the case of three primary fields”, Russian Math. Surveys, 74:2 (2019), 369–371
Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi, Marco Pedroni, “On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations”, SIGMA, 15 (2019), 087, 17 pp.
Jean Avan, Vincent Caudrelier, “On the origin of dual Lax pairs and their r-matrix structure”, Journal of Geometry and Physics, 120 (2017), 106
Michael Nivala, Bernard Deconinck, “Periodic finite-genus solutions of the KdV equation are orbitally stable”, Physica D: Nonlinear Phenomena, 239:13 (2010), 1147
Maciej Błaszak, Krzysztof Marciniak, “Stäckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions”, J. Phys. A: Math. Theor., 41:48 (2008), 485202
А. В. Маршаков, “Матричная модель и стационарная задача в цепочке Тоды”, ТМФ, 146:1 (2006), 3–16; A. V. Marshakov, “Matrix Model and Stationary Problem in the Toda Chain”, Theoret. and Math. Phys., 146:1 (2006), 1–12
Maciej Błaszak, Krzysztof Marciniak, “From Stäckel systems to integrable hierarchies of PDE's: Benenti class of separation relations”, Journal of Mathematical Physics, 47:3 (2006)
Ya. A. Prykarpats'kyi, A. M. Samoilenko, “On the Lagrangian and Hamiltonian Aspects of Infinite-Dimensional Dynamical Systems and their Finite-Dimensional Reductions”, Nonlinear Oscill, 8:3 (2005), 361
Monica Ugaglia, “On the Hamiltonian and Lagrangian structures of time-dependent reductions of evolutionary PDEs”, Differential Geometry and its Applications, 16:1 (2002), 1
Г. Фальки, Ф. Магри, Г. Тондо, “Редукция бигамильтоновых систем и разделение переменных: пример из иерархии Буссинеска”, ТМФ, 122:2 (2000), 212–230; G. Falqui, F. Magri, G. Tondo, “Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy”, Theoret. and Math. Phys., 122:2 (2000), 176–192
О. И. Мохов, “Симплектические и пуассоновы структуры на пространствах петель гладких многообразий
и интегрируемые системы”, УМН, 53:3(321) (1998), 85–192; O. I. Mokhov, “Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems”, Russian Math. Surveys, 53:3 (1998), 515–622
Bernard Deconinck, Harvey Segur, “The KP equation with quasiperiodic initial data”, Physica D: Nonlinear Phenomena, 123:1-4 (1998), 123
Ferapontov, EV, “Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory”, Communications in Mathematical Physics, 186:3 (1997), 649
Allan P. Fordy, Simon D. Harris, Algebraic Aspects of Integrable Systems, 1997, 103
E.V. Ferapontov, A.P. Fordy, “Separable Hamiltonians and integrable systems of hydrodynamic type”, Journal of Geometry and Physics, 21:2 (1997), 169
Е. В. Ферапонтов, Р. А. Шарипов, “О законах сохранения первого порядка для систем уравнений гидродинамического типа”, ТМФ, 108:1 (1996), 109–128; E. V. Ferapontov, R. A. Sharipov, “On first-order conservation laws for systems of hydronamic type equations”, Theoret. and Math. Phys., 108:1 (1996), 937–952
W.X. Ma, B. Fuchssteiner, W. Oevel, “A 3 sx 3 matrix spectral problem for AKNS hierarchy and its binary nonlinearization”, Physica A: Statistical Mechanics and its Applications, 233:1-2 (1996), 331
S. Rauch-Wojciechowski, K. Marciniak, M. Blaszak, “Two newton decompositions of staionary flows of KdV and Harry Dym hierarchies”, Physica A: Statistical Mechanics and its Applications, 233:1-2 (1996), 307
А. П. Форди, А. Б. Шабат, А. П. Веселов, “Факторизация и пуассоновы соответствия”, ТМФ, 105:2 (1995), 225–245; A. P. Fordy, A. B. Shabat, A. P. Veselov, “Factorization and Poisson correspondences”, Theoret. and Math. Phys., 105:2 (1995), 1369–1386
Allan P. Fordy, “Stationary flows: Hamiltonian structures and canonical transformations”, Physica D: Nonlinear Phenomena, 87:1-4 (1995), 20
Yunbo Zeng, S Rauch-Wojciechowski, “Continuous limits for the Kac-Van Moerbeke hierarchy and for their restricted flows”, J. Phys. A: Math. Gen., 28:13 (1995), 3825
G Tondo, “On the integrability of stationary and restricted flows of the KdV hierarchy”, J. Phys. A: Math. Gen., 28:17 (1995), 5097
Zhijun Qiao, “Algebraic structure of the operator related to stationary systems”, Physics Letters A, 206:5-6 (1995), 347
Q P Liu, “On the constrained modified KP hierarchy”, Inverse Problems, 11:1 (1995), 205
Maciej Błaszak, “Bi-Hamiltonian field Garnier system”, Physics Letters A, 174:1-2 (1993), 85
Marek Antonowicz, Stefan Rauch-Wojciechowski, “How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials”, Journal of Mathematical Physics, 33:6 (1992), 2115
S Rauch-Wojciechowski, “Newton representation for stationary flows of the KdV hierarchy”, Physics Letters A, 170:2 (1992), 91
O Ragnisco, S Rauch-Wojciechowski, “Restricted flows of the AKNS hierarchy”, Inverse Problems, 8:2 (1992), 245
M. Bruschi, O. Ragnisco, P.M. Santini, Tu Gui-Zhang, “Integrable symplectic maps”, Physica D: Nonlinear Phenomena, 49:3 (1991), 273
Marek Antonowicz, Stefan Rauch-Wojciechowski, “Constrained flows of integrable PDEs and bi-Hamiltonian structure of the Garnier system”, Physics Letters A, 147:8-9 (1990), 455
О. И. Мохов, “О гамильтоновости произвольной эволюционной системы на множестве стационарных точек ее интеграла”, Изв. АН СССР. Сер. матем., 51:6 (1987), 1345–1352; O. I. Mokhov, “On the Hamiltonian property of an arbitrary evolution system on the set of stationary points of its integral”, Math. USSR-Izv., 31:3 (1988), 657–664
Marek Antonowicz, Allan P. Fordy, Stefan Wojciechowski, “Integrable stationary flows: Miura maps and bi-hamiltonian structures”, Physics Letters A, 124:3 (1987), 143
О. И. Мохов, “Гамильтоновость эволюционного потока на множестве стационарных точек его интеграла”, УМН, 39:4(238) (1984), 173–174; O. I. Mokhov, “The Hamiltonian property of an evolutionary flow on the set of stationary points of its integral”, Russian Math. Surveys, 39:4 (1984), 133–134
John Weiss, “Bäcklund transformation and the Henon-Heiles system”, Physics Letters A, 105:8 (1984), 387
С. П. Новиков, “Гамильтонов формализм и многозначный аналог теории Морса”, УМН, 37:5(227) (1982), 3–49; S. P. Novikov, “The Hamiltonian formalism and a many-valued analogue of Morse theory”, Russian Math. Surveys, 37:5 (1982), 1–56
И. М. Гельфанд, И. Я. Дорфман, “Гамильтоновы операторы и классическое уравнение Янга–Бакстера”, Функц. анализ и его прил., 16:4 (1982), 1–9; I. M. Gel'fand, I. Ya. Dorfman, “Hamiltonian operators and the classical Yang–Baxter equation”, Funct. Anal. Appl., 16:4 (1982), 241–248
Е. Д. Белоколос, “Задача Пайерлса–Фрелиха и конечнозонные потенциалы. II”, ТМФ, 48:1 (1981), 60–69; E. D. Belokolos, “Peierls-Fröhlich problem and potentials with finite number of gaps. II”, Theoret. and Math. Phys., 48:1 (1981), 604–610
А. П. Веселов, “Конечнозонные потенциалы и интегрируемые системы на сфере с квадратичным потенциалом”, Функц. анализ и его прил., 14:1 (1980), 48–50; A. P. Veselov, “Finite-zone potentials and integrable systems on a sphere with quadratic potential”, Funct. Anal. Appl., 14:1 (1980), 37–39
J.L. Gervais, A. Neveu, M.A. Virasoro, “Non-classical configurations in Euclidean field theory as minima of constrained systems”, Nuclear Physics B, 138:1 (1978), 45
А. М. Виноградов, Б. А. Купершмидт, “Структура гамильтоновой механики”, УМН, 32:4(196) (1977), 175–236; A. M. Vinogradov, B. A. Kupershmidt, “The structures of Hamiltonian mechanics”, Russian Math. Surveys, 32:4 (1977), 177–243
И. М. Кричевер, “Методы алгебраической геометрии в теории нелинейных
уравнений”, УМН, 32:6(198) (1977), 183–208; I. M. Krichever, “Methods of algebraic geometry in the theory of non-linear equations”, Russian Math. Surveys, 32:6 (1977), 185–213
И. М. Гельфанд, Л. А. Дикий, “Резольвента и гамильтоновы системы”, Функц. анализ и его прил., 11:2 (1977), 11–27; I. M. Gel'fand, L. A. Dikii, “The resolvent and Hamiltonian systems”, Funct. Anal. Appl., 11:2 (1977), 93–105
Б. А. Дубровин, В. Б. Матвеев, С. П. Новиков, “Нелинейные уравнения типа Кортевега–де Фриза, конечнозонные линейные операторы и абелевы многообразия”, УМН, 31:1(187) (1976), 55–136; B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear
operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146
И. М. Гельфанд, Л. А. Дикий, “Структура алгебры Ли в формальном вариационном исчислении”, Функц. анализ и его прил., 10:1 (1976), 18–25; I. M. Gel'fand, L. A. Dikii, “A Lie algebra structure in a formal variational calculation”, Funct. Anal. Appl., 10:1 (1976), 16–22
О. И. Богоявленский, “Об интегралах высших стационарных уравнений КдФ и собственных числах оператора Хилла”, Функц. анализ и его прил., 10:2 (1976), 9–12; O. I. Bogoyavlenskii, “Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator”, Funct. Anal. Appl., 10:2 (1976), 92–95
И. М. Гельфанд, Ю. И. Манин, М. А. Шубин, “Скобки Пуассона и ядро вариационной производной в формальном вариационном исчислении”, Функц. анализ и его прил., 10:4 (1976), 30–34; I. M. Gel'fand, Yu. I. Manin, M. A. Shubin, “Poisson brackets and the kernel of the variational derivative in the formal calculus of variations”, Funct. Anal. Appl., 10:4 (1976), 274–278
; Dianlou Du, Xue Wang, “A new finite-dimensional Hamiltonian systems with a mixed Poisson structure for the KdV equation”, Theoret. and Math. Phys., 211:3 (2022), 
; O. I. Mokhov, N. A. Strizhova, “Liouville integrability of the reduction of the associativity equations on the set of stationary points of an integral in the case of three primary fields”, Russian Math. Surveys, 74:2 (2019), 