Образец цитирования:
А. Ю. Орлов, Е. И. Шульман, “О дополнительных симметриях нелинейного уравнения Шредингера”, ТМФ, 64:2 (1985), 323–328; Theoret. and Math. Phys., 64:2 (1985), 862–866
Jin Liu, Da‐jun Zhang, Xuehui Zhao, “Symmetries of the DΔmKP hierarchy and their continuum limits”, Stud Appl Math, 152:1 (2024), 404
Хай-Фэн Ван, Юй-Фэн Чжан, “Построение многомерных изоспектрально-неизоспектральных интегрируемых иерархий, связанных с новым классом
петлевых алгебр многомерных вектор-столбцов”, ТМФ, 219:2 (2024), 221–248; Haifeng Wang, Yufeng Zhang, “Generation of higher-dimensional isospectral-nonisospectral integrable hierarchies associated with a new class of higher-dimensional column-vector loop algebra”, Theoret. and Math. Phys., 219:2 (2024), 722–747
Jean-Pierre Magnot, Enrique G. Reyes, Vladimir Rubtsov, “Towards a theory of homotopy structures for differential equations: First definitions and examples”, Journal of Differential Equations, 413 (2024), 805
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang, “Nonisospectral equations from the Cauchy matrix approach”, Reports on Mathematical Physics, 94:1 (2024), 47
Дун-Вэй Жань, Шао-Вэй Лю, “Новые редукции подобия и точные решения уравнения Датэ–Джимбо–Кашивары–Мивы”, ТМФ, 221:3 (2024), 538–560; Dongwei Ran, Shaowei Liu, “New similarity reductions and exact solutions of the Date–Jimbo–Kashiwara–Miwa equation”, Theoret. and Math. Phys., 221:3 (2024), 2062–2082
V. E. Adler, M. P. Kolesnikov, “Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34 and P3”, Journal of Mathematical Physics, 64:10 (2023)
Kelei Tian, Xiaohan Du, Ying Xu, Ge Yi, “The ghost symmetries of the q-KP hierarchy”, J. Phys. A: Math. Theor., 56:38 (2023), 385203
Liu W. Li Ch., “Symmetries of the Q-Nkdv Hierarchy”, Int. J. Mod. Phys. A, 36:6 (2021), 2150040
B. I. Suleimanov, “On Analogs of Wave Catastrophe Functions that are Solutions of Nonlinear Integrable Equations”, J Math Sci, 258:1 (2021), 81
Лин Ань, Чуань-Чжун Ли, “Симметрии Вирасоро многокомпонентных систем Гельфанда–Дикого”, ТМФ, 205:1 (2020), 102–123; Ling An, Chuanzhong Li, “Virasoro symmetries of multicomponent Gelfand–Dickey systems”, Theoret. and Math. Phys., 205:1 (2020), 1333–1352
Adler V.E., “Nonautonomous Symmetries of the Kdv Equation and Step-Like Solutions”, J. Nonlinear Math. Phys., 27:3 (2020), 478–493
Б. И. Сулейманов, “Об аналогах функций волновых катастроф, являющихся решениями нелинейных интегрируемых уравнений”, Дифференциальные уравнения, Итоги науки и техн. Соврем. мат. и ее прил. Темат. обз., 163, ВИНИТИ РАН, М., 2019, 81–95
Ian Marquette, Pavel Winternitz, Integrability, Supersymmetry and Coherent States, 2019, 103
G Gubbiotti, D Latini, “A multiple scales approach to maximal superintegrability”, J. Phys. A: Math. Theor., 51:28 (2018), 285201
Andrei K. Pogrebkov, “Symmetries of the Hirota Difference Equation”, SIGMA, 13 (2017), 053, 14 pp.
N. N. Rosanov, N. V. Vysotina, “Dynamics of Hysteresis for a Bose–Einstein Condensate Soliton in a Dynamic Trap”, Opt. Spectrosc., 123:6 (2017), 918
Willard Miller, Sarah Post, Pavel Winternitz, “Classical and quantum superintegrability with applications”, J. Phys. A: Math. Theor., 46:42 (2013), 423001
P. Winternitz, “Superintegrability with second- and third-order integrals of motion”, Phys. Atom. Nuclei, 72:5 (2009), 875
S.Y. Lou, Hong-Cai Ma, “Finite symmetry transformation groups and exact solutions of Lax integrable systems”, Chaos, Solitons & Fractals, 30:4 (2006), 804