Four-component integrable hierarchies of Hamiltonian equations with (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m+n+2$$\end{document})th-order Lax pairs

被引：0

作者：

Wen-Xiu Ma

机构：

[1] Zhejiang Normal University,Department of Mathematics

[2] King Abdulaziz University,Department of Mathematics

[3] University of South Florida,Department of Mathematics and Statistics

[4] North-West University,School of Mathematical and Statistical Sciences

来源：

Theoretical and Mathematical Physics | 2023年 / 216卷 / 2期

关键词：

Lax pair; zero-curvature equation; integrable hierarchy; Hamiltonian structure; NLS equations; mKdV equations;

D O I：

10.1134/S0040577923080093

中图分类号：

学科分类号：

摘要：

引用

页码：1180 / 1188

页数：8

共 17 条

[1] Equivalence of two constructions for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\widehat{sl}_2$$\end{document}-integrable hierarchies
Panpan Dang
Yajuan Li
Yuanyuan Zhang
Jipeng Cheng
Theoretical and Mathematical Physics, 2025, 223 (1) : 597 - 623
[2] Integrable super extensions of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K(-2,-2)$$\end{document} equation
Hanyu Zhou
Kai Tian
Theoretical and Mathematical Physics, 2022, 210 (3) : 353 - 362
[3] A New Application of the ∂¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\bar{\partial }}$$\end{document}-Method
Shiyin Zhao
Yufeng Zhang
Xiangzhi Zhang
Journal of Nonlinear Mathematical Physics, 2021, 28 (4) : 492 - 506
[4] The Local Gromov–Witten Theory of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{C}\mathbb{P}^1}$$\end{document} and Integrable Hierarchies
Andrea Brini
Communications in Mathematical Physics, 2012, 313 (3) : 571 - 605
[5] Classical W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{W}}$$\end{document}-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents
Alberto De Sole
Victor G. Kac
Daniele Valeri
Communications in Mathematical Physics, 2014, 331 (2) : 623 - 676
[6] Bi-Integrable Couplings Associated with so(3,R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(3,{\mathbb R})$$\end{document}
Morgan McAnally
Wen-Xiu Ma
Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 (5) : 1921 - 1935
[7] Integrability and Lie symmetry analysis of deformed N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{N}}$$\end{document}-coupled nonlinear Schrödinger equations
S. Suresh Kumar
S. Balakrishnan
R. Sahadevan
Nonlinear Dynamics, 2017, 90 (4) : 2783 - 2795
[8] Riemann–Hilbert approach and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N$$\end{document}-soliton solutions of the two-component Kundu–Eckhaus equation
Chunjiang Wang
Jian Zhang
Theoretical and Mathematical Physics, 2022, 212 (3) : 1222 - 1236
[9] Interactions of the vector breathers for the coupled Hirota system with 4×4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4\times 4$$\end{document} Lax pair
Zhong Du
Tao Xu
Shuai Ren
Nonlinear Dynamics, 2021, 104 (1) : 683 - 689
[10] U(1) Invariant \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$F(\tilde{R})$\end{document} Hořava–Lifshitz gravity
J. Klusoň
S. Nojiri
S. D. Odintsov
D. Sáez-Gómez
The European Physical Journal C, 2011, 71 (7):

← 1 2 →