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DRINFELD: 作品数：52被引量：18H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：戴丽董井成赵文正赵大虎陈爱永更多>>; 相关机构：东南大学南京农业大学扬州大学华南理工大学更多>>; 相关期刊：《Propulsion and Power Research》《郑州大学学报（理学版）》《Communications in Theoretical Physics》《上海理工大学学报》更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家教育部博士点基金山东省自然科学基金更多>>

Residual symmetry and interactions between solitons and periodic waves of the Drinfeld-Sokolov-Satsuma-Hirota system: 《Communications in Theoretical Physics》2025年第1期1-10,共10页Jie-tong Li Jun Yu Xi-zhong Liu; supported by the National Natural Science Foundation of China under Grant Nos.12175148 and 11975156。; In this paper,the Drinfeld-Sokolov-Satsuma-Hirota(DSSH)system is studied by using residual symmetry and the consistent Riccati expansion(CRE)method,respectively.The residual symmetry of the DSSH system is localized to...; 关键词：Drinfeld-Sokolov-Satsuma-Hirota system residual symmetry consistent Riccati expansion

Dynamics of some new solutions to the coupled DSW equations traveling horizontally on the seabed: 《Journal of Ocean Engineering and Science》2024年第2期154-163,共10页Raj Kumar Ravi Shankar Verma; The system of(1+1)-coupled Drinfel’d-Sokolov-Wilson equations describes the surface gravity waves travelling horizontally on the seabed.The objective of the present research is to construct a new variety of analytica...; 关键词：Coupled Drinfel’d-Sokolov-Wilson model INVARIANTS Killing form Optimal sub algebra Lie symmetry reductions

Toroidal李代数及其表示: 《厦门大学学报（自然科学版）》2023年第6期889-896,共8页陈福林谭绍滨王清余铌娜; 国家自然科学基金(11971397,12131018,12071385,11971396)。; Toroidal李代数是仿射Kac-Moody代数的多变量推广.在本文中我们简要介绍toroidal李代数及其表示的有关进展.; 关键词：TOROIDAL李代数多重loop代数可积表示 Drinfeld表现

On the Structure of Quantum Toroidal Superalgebraε_(m|n): 《Acta Mathematica Sinica,English Series》2023年第11期2117-2138,共22页Xiang Hua WU Hong Da LIN Hong Lian ZHANG; the NSFC(Grant No.11871325,12271332);Shanghai Natural Science Foundation(No.22ZR1424600)。; Recently the quantum toroidal superalgebraε_(m|n)associated with gl_(m|n)was introduced by L.Bezerra and E.Mukhin,which is not a quantum Kac-Moody algebra.The quantum toroidal superalgebraε_(m|n)exploits infinite se...; 关键词：Quantum toroidal superalgebra Drinfeld realization Lie superalgebra

Approximate solutions to fractional differential equations: 《Applied Mathematics and Mechanics(English Edition)》2023年第10期1791-1802,共12页Yue LIU Zhen ZHAO Yanni ZHANG Jing PANG; Project supported by the National Natural Science Foundation of China (No. 10561151);the Basic Science Research Fund in the Universities Directly Under the Inner Mongolia Autonomous Region(No. JY20220003);the Scientific Research Project of Hetao College of China (No. HYZQ202122)。; In this paper, the time-fractional coupled viscous Burgers' equation(CVBE)and Drinfeld-Sokolov-Wilson equation(DSWE) are solved by the Sawi transform coupled homotopy perturbation method(HPM). The approximate series s...; 关键词：Caputo fractional derivative coupled viscous Burgers'equation(CVBE) Drinfeld-Sokolov-Wilson equation(DSWE) Sawi transform homotopy perturbation method(HPM)

On the modified(G′/G^(2))-expansion method for finding some analytical solutions of the traveling waves被引量：2: 《Journal of Ocean Engineering and Science》2022年第4期313-320,共8页S.Behera N.H.Aljahdaly J.P.S.Virdi; This work investigates three nonlinear equations that describe waves on the oceans which are the Kadomtsev Petviashvili-modified equal width(KP-MEW)equation,the coupled Drinfel’d-Sokolov-Wilson(DSW)equation,and the B...; 关键词：Nonlinear physical models NLEEs Modified(G′/G^(2))-expansion approach KP-MEW equation Drinfeld and Soklov and Wilson equation Benjamin-Ono equation

分圆多项式及其变形的一点注记: 《安庆师范大学学报（自然科学版）》2021年第3期22-25,共4页王曼赵正俊; 国家自然科学基金(11971382)。; 分圆多项式的性质在密码学领域具有重要的应用,研究分圆多项式的性质具有重要的理论意义。就分圆多项式在整体函数域中的模拟及由映射的复合所诱导的动力分圆多项式进行研究。结合动力系统的思想,利用数论的方法,给出了与动力分圆多项...; 关键词：分圆多项式 Carlitz模 Drinfeld模动力分圆多项式

Grothendieck环G_(0)(D(H_(4)))的自同构群被引量：1: 《扬州大学学报（自然科学版）》2021年第3期1-4,共4页胡承超潘梦雅陈惠香; 国家自然科学基金资助项目(12071412).; 研究Sweedler 4-维Hopf代数H_(4)Drinfeld偶D(H_(4))的Grothendieck环G_(0)(D(H_(4)))的自同构群,给出了G_(0)(D(H_(4)))所有环自同构的表达式,并证明了Grothendieck环G_(0)(D(H_(4)))的自同构群同构于Klein群K_(4).; 关键词：HOPF代数 Drinfeld偶 Grothendieck环自同构群

On the Drinfeld-Sokolov hierarchy of type E_(6)^((1))and its topological solution: 《Science China Mathematics》2021年第6期1245-1262,共18页Weiqiang He Hua-Zhong Ke Chao-Zhong Wu; supported by National Natural Science Foundation of China(Grant Nos.11601534,11771461 and 11831017)。; In this paper we report some explicit evolutionary PDEs of the Drinfeld-Sokolov hierarchy of type E_(6)^((1)),and show how the unknown functions in these PDEs are related to the tau function.Moreover,for this hierarch...; 关键词：Drinfeld-Sokolov hierarchy tau function topological solution

广义的tanh-coth方法在求解一类分数阶非线性偏微分方程中的应用研究: 《内蒙古工业大学学报（自然科学版）》2019年第3期161-169,共9页郝孟涵庞晶; 国家自然科学基金项目(10561151); 本文主要是利用广义的tanh-coth方法去求解分数阶非线性偏微分方程的精确解.因为时间分数阶耦合Drinfel’d-Sokolov-Wilson(DSW)方程精确解的求解方法相对较少,所以以该方程为例,对广义的tanh-coth方法进行研究.该方法通过复变换将分数...; 关键词：分数阶耦合Drinfel’d-Sokolov-Wilson(DSW)方程广义的tanh-coth方法分数阶导数定义

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