Аннотация:
Обзор содержит описание связи между бесконечномерными алгебрами Ли Каца-Муди и системами дифференциальных уравнений, обобщающими уравнения Кортевега–де Фриза и sin-Гордон, интегрируемые методом обратной задачи рассеяния. Приведен также обзор теории алгебр Каца–Муди.
Библ. 72.
Образец цитирования:
В. Г. Дринфельд, В. В. Соколов, “Алгебры Ли и уравнения типа Кортевега–де Фриза”, Итоги науки и техн. Сер. Соврем. пробл. мат. Нов. достиж., 24, ВИНИТИ, М., 1984, 81–180; J. Soviet Math., 30:2 (1985), 1975–2036
\RBibitem{DriSok84}
\by В.~Г.~Дринфельд, В.~В.~Соколов
\paper Алгебры Ли и уравнения типа Кортевега--де~Фриза
\serial Итоги науки и техн. Сер. Соврем. пробл. мат. Нов. достиж.
\yr 1984
\vol 24
\pages 81--180
\publ ВИНИТИ
\publaddr М.
\mathnet{http://mi.mathnet.ru/intd72}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=760998}
\zmath{https://zbmath.org/?q=an:0578.58040|0558.58027}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 2
\pages 1975--2036
\crossref{https://doi.org/10.1007/BF02105860}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/intd72
https://www.mathnet.ru/rus/intd/v24/p81
Эта публикация цитируется в следующих 821 статьяx:
Gui Mu, Chengyan Zhang, Zhiqiang Yang, “Kadomtsev-Petviashvili reduction and rational solutions of the generalized (2+1)-dimensional Boussinesq equation”, Physics Letters A, 530 (2025), 130125
Katsushi Ito, Mingshuo Zhu, “Integrals of motion in conformal field theory with W-symmetry and the ODE/IM correspondence”, Nuclear Physics B, 1010 (2025), 116756
Yi Yang, “Higher-dimensional integrable systems arising from the principal representation of toroidal Lie algebra so2ntor”, Journal of Geometry and Physics, 210 (2025), 105420
H. T. Özer, Aytül Filiz, “On the N=3N=3 and N=4N=4 superconformal holographic dictionary”, Eur. Phys. J. C, 85:1 (2025)
Katsushi Ito, Hongfei Shu, SpringerBriefs in Mathematical Physics, 51, ODE/IM Correspondence and Quantum Periods, 2025, 75
Chao‐Zhong Wu, Yi Yang, “Integrable Hierarchy for Homogeneous Realization of the Toroidal Lie Algebra Lr+1tor(slℓ)Ltorr+1(slℓ)”, Stud Appl Math, 154:2 (2025)
Vahisht K. Tamboli, Priti V. Tandel, Manan A. Maisuria, “Solution of Non-linear Drinfel'd–Sokolov–Wilson Coupled Partial Differential Equations Using Reduced Differential Transform Method”, Int. J. Appl. Comput. Math, 11:2 (2025)
Naher Mohammed A. Alsafri, “Solitonic behaviors in the coupled Drinfeld-Sokolov-Wilson system with fractional dynamics”, MATH, 10:3 (2025), 4747
Si-Qi Liu, Haonan Qu, Youjin Zhang, “Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies”, Commun. Math. Phys., 406:4 (2025)
Wen-Xiu Ma, “A matrix integrable Hamiltonian hierarchy and its two integrable reductions”, Int. J. Geom. Methods Mod. Phys., 22:03 (2025)
Wen-Xiu Ma, “A soliton hierarchy derived from a fourth-order matrix spectral problem possessing four fields”, Chaos, Solitons & Fractals, 195 (2025), 116309
Abdul Hamid Ganie, Humaira Yasmin, A A Alderremy, Rasool Shah, Shaban Aly, “An efficient semi-analytical techniques for the fractional-order system of Drinfeld-Sokolov-Wilson equation”, Phys. Scr., 99:1 (2024), 015253
Wen-Xiu Ma, “A Higher-Order Spectral Problem and Associated Matrix Integrable Hierarchies”, Int. J. Appl. Comput. Math, 10:1 (2024)
Aleksander Aleksiev Stefanov, “New Types of Derivative Non-linear Schrödinger Equations Related to Kac–Moody Algebra A2(1)”, Dynamics, 4:1 (2024), 81
Alberto De Sole, Victor G. Kac, Daniele Valeri, Reference Module in Materials Science and Materials Engineering, 2024
V. E. Adler, “Negative flows for several integrable models”, Journal of Mathematical Physics, 65:2 (2024)
Yuanyuan Zhang, Jipeng Cheng, Shoufeng Shen, Juan Hu, “Modified bosonic integrable hierarchy”, Journal of Geometry and Physics, 201 (2024), 105199
Muhammad Nawaz Khan, Imtiaz Ahmad, Mehnaz Shakeel, Rashid Jan, “Fractional calculus analysis: investigating Drinfeld-Sokolov-Wilson system and Harry Dym equations via meshless procedures”, MMC, 4:1 (2024), 86
Wen-Xiu Ma, “A Generalized Hierarchy of Combined Integrable Bi-Hamiltonian Equations from a Specific Fourth-Order Matrix Spectral Problem”, Mathematics, 12:6 (2024), 927
Цитирование в формате AMSBIB
Обратная связь: