Muhammad Alim Abdulwahhab, “New exact solutions and conservation laws of a degenerate Lax-integrable equation”, Partial Differential Equations in Applied Mathematics, 2025, 101166
Оксана Гентош, “Інтегровні за Лаксом–Сато бездисперсійні системи на супермноговидах, пов'язані з центрально розширеним узагальненням петельноï суперконформноï алгебри Лі”, Ukr. Mat. Zhurn., 77:9 (2025), 555
Evgeny V. Ferapontov, Mats Vermeeren, “Lagrangian multiforms and dispersionless integrable systems”, Lett Math Phys, 115:6 (2025)
Oksana Hentosh, “Lax–Sato Integrable Dispersion-Free Systems on Supermanifolds Related to a Centrally Extended Generalization of the Loop Superconformal Lie Algebra”, Ukr Math J, 2025
Hongyi Zhang, Yufeng Zhang, Huanhuan Lu, “The nonlinear Riemann–Hilbert problems for a new general Pavlov equation”, Chaos, Solitons & Fractals, 185 (2024), 115189
E. V. Ferapontov, V. S. Novikov, I. Roustemoglou, “Higher-order reductions of the Mikhalev system”, Lett Math Phys, 114:3 (2024)
Л. В. Богданов, “О некоторых линейных уравнениях, связанных с бездисперсионными интегрируемыми системами”, ТМФ, 221:1 (2024), 3–17; L. V. Bogdanov, “On some linear equations associated with dispersionless integrable systems”, Theoret. and Math. Phys., 221:1 (2024), 1589–1602
I. S. Krasil'shchik, O. I. Morozov, “Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Martínez Alonso–Shabat equation”, Anal.Math.Phys., 13:1 (2023)
Oleg I. Morozov, “Integrable partial differential equations and Lie–Rinehart algebras”, Journal of Geometry and Physics, 181 (2022), 104661
Anatolij K. Prykarpatski, “Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems”, Universe, 8:5 (2022), 288
E.V. Ferapontov, M. V. Pavlov, “Kinetic Equation for Soliton Gas: Integrable Reductions”, J Nonlinear Sci, 32:2 (2022)
I. S. Krasil'shchik, “On Recursion Operators for Symmetries of the Pavlov–Mikhalev Equation”, Lobachevskii J Math, 43:10 (2022), 2757
Zakhar V. Makridin, Maxim V. Pavlov, “Multidimensional conservation laws and integrable systems II”, Stud Appl Math, 148:2 (2022), 813
Xinyue Li, Yongli Zhang, Huiqun Zhang, Qiulan Zhao, “Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation”, ejde, 2021:01-104 (2021), 41
A. Smirnov, M. Pavlov, V. Matveev, V. Gerdjikov, Proceedings of Symposia in Pure Mathematics, 103.1, Integrability, Quantization, and Geometry, 2021, 429
P. Holba, I.S. Krasil'shchik, O.I. Morozov, P. Vojčák, “2D reductions of the equation u
yy
= u
tx
+ u
yu
xx
- u
xu
xy
and their nonlocal symmetries”, JNMP, 24:Supplement 1 (2021), 36
Oleg I. Morozov, “Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein–Weyl structures and the Gibbons–Tsarev equation”, Differential Geometry and its Applications, 75 (2021), 101740
Lingling Xue, E V Ferapontov, “Quasilinear systems of Jordan block type and the mKP hierarchy”, J. Phys. A: Math. Theor., 53:20 (2020), 205202
Oksana Hentosh, Yarema Prykarpatsky, “The Lax–Sato integrable heavenly equations on functional supermanifolds and their Lie-algebraic structure”, European Journal of Mathematics, 6:1 (2020), 232
B. G. Konopelchenko, W. K. Schief, “On an integrable multi-dimensionally consistent 2
n
+ 2
n
-dimensional heavenly-type equation”, Proc. R. Soc. A., 475:2230 (2019), 20190091
Michal Marvan, Maxim V. Pavlov, “Integrable dispersive chains and their multi-phase solutions”, Lett Math Phys, 109:5 (2019), 1219
Zakhar V. Makridin, Maxim V. Pavlov, “Multi‐dimensional conservation laws and integrable systems”, Stud Appl Math, 143:4 (2019), 339
Oleg I. Morozov, “Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras”, Journal of Geometry and Physics, 143 (2019), 150
М. В. Павлов, “Интегрируемость исключительных систем гидродинамического типа”, Топология и физика, Сборник статей. К 80-летию со дня рождения академика Сергея Петровича Новикова, Труды МИАН, 302, МАИК «Наука/Интерпериодика», М., 2018, 343–353; Maxim V. Pavlov, “Integrability of exceptional hydrodynamic-type systems”, Proc. Steklov Inst. Math., 302 (2018), 325–335
Maciej Dunajski, Jan Gutowski, Wafic Sabra, “A note on the Hyper-CR equation, and gauged N= 2 supergravity”, Physics Letters B, 780 (2018), 166
Aleksandra Lelito, Oleg I. Morozov, “Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations”, Journal of Geometry and Physics, 131 (2018), 89
Oksana E. HENTOSH, Yarema A. PRYKARPATSKİ, Denis BLACKMORE, Anatolij PRYKARPATSKİ, “Generalized Lie-algebraic structures related to integrable dispersionless dynamical systems and their application”, Journal of Mathematical Sciences and Modelling, 1:2 (2018), 105
Ya. A. Prykarpatskyy, A. M. Samoilenko, “Classical M. A. Buhl Problem, Its Pfeiffer–Sato Solutions, and the Classical Lagrange–D'Alembert Principle for the Integrable Heavenly-Type Nonlinear Equations”, Ukr Math J, 69:12 (2018), 1924
A. Sergyeyev, “A simple construction of recursion operators for multidimensional dispersionless integrable systems”, Journal of Mathematical Analysis and Applications, 454:2 (2017), 468
Anatolij Prykarpatski, Oksana Hentosh, Yarema Prykarpatsky, “Geometric Structure of the Classical Lagrange-d'Alambert Principle and Its Application to Integrable Nonlinear Dynamical Systems”, Mathematics, 5:4 (2017), 75
Oksana E. Hentosh, Yarema A. Prykarpatsky, Denis Blackmore, Anatolij K. Prykarpatski, “Lie-algebraic structure of Lax–Sato integrable heavenly equations and the Lagrange–d'Alembert principle”, Journal of Geometry and Physics, 120 (2017), 208
Derchyi Wu, “The Cauchy problem for the Pavlov equation with large data”, Journal of Differential Equations, 263:3 (2017), 1874
A. Shabat, Lecture Notes in Physics, 767, Integrability, 2009, 139
Ferapontov, EV, “Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor”, Mathematische Annalen, 339:1 (2007), 61
Л. Мартинес Алонсо, А. Б. Шабат, “Гидродинамические редукции и решения универсальной иерархии”, ТМФ, 140:2 (2004), 216–229; L. Martínez Alonso, A. B. Shabat, “Hydrodynamic Reductions and Solutions of a Universal Hierarchy”, Theoret. and Math. Phys., 140:2 (2004), 1073–1085
A. B. Shabat, L. Martínez Alonso, New Trends in Integrability and Partial Solvability, 2004, 263
L. Martinez-Alonso, A B SHABAT, “Towards a Theory of Differential Constraints of a Hydrodynamic Hierarchy”, JNMP, 10:2 (2003), 229
L. Martı́nez Alonso, A.B. Shabat, “Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type”, Physics Letters A, 300:1 (2002), 58
L Martı́nez Alonso, A.B Shabat, “Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type”, Physics Letters A, 299:4 (2002), 359