A5101634416- Nonlinear Waves and Solitons
- Advanced Topics in Algebra
- Algebraic structures and combinatorial models
- Numerical methods for differential equations
- Dynamics and Control of Mechanical Systems
- Teaching and Learning Programming
- Regional Economic and Spatial Analysis
- Thermal properties of materials
- Big Data and Digital Economy
- Thermal Radiation and Cooling Technologies
- Matrix Theory and Algorithms
- Economic Zones and Regional Development
- Genetics, Bioinformatics, and Biomedical Research
- Advanced Mathematical Physics Problems
- Black Holes and Theoretical Physics
- Advanced Thermodynamics and Statistical Mechanics
- Nonlinear Photonic Systems
- Rings, Modules, and Algebras
- Control and Stability of Dynamical Systems
Ministry of Industry and Information Technology
2019-2020
Harbin Institute of Technology
2019-2020
Beijing Institute of Education
2019
Capital Normal University
2008-2016
The q-deformation of the infinite-dimensional n-algebras is investigated. Based on structure q-deformed Virasoro–Witt algebra, we derive a nontrivial n-algebra which nothing but sh-n-Lie algebra. Furthermore in terms pseud-differential operators, construct (co)sine and SDiff(T2) n-algebra. We find that they are algebras for n even case. In magnetic translation an explicit physical realization given.
By using the extended Harrison and Estabrook geometric approach, we investigate Lie symmetry of discrete time Toda equation from point view. Its one-dimensional continuous group is presented.
The $q$-deformation of the infinite-dimensional $n$-algebra is investigated. Based on structure $q$-deformed Virasoro-Witt algebra, we derive a nontrivial which nothing but sh-$n$-Lie algebra. Furthermore in terms pseud-differential operators quantum plane, construct (co)sine and $SDiff(T^2)$ $n$-algebra. We prove that they are algebras for case even $n$. An explicit physical realization given.
The Yang—Baxter equation is reinvestigated in the framework of triple system. By requiring rational R matrix satisfying generalized Filippov condition, we derive a relation with respect to matrix. Moreover case super also investigated.
n-ary algebras have played important roles in mathematics and mathematical physics. The purpose of this paper is to construct a deformation Virasoro-Witt n-algebra based on an oscillator realization with two independent parameters (p, q) investigate its n-Lie subalgebra.
The triple product system associated with a rational R-matrix is investigated. We prove that there the Yangian covariant structure for this system. present 3-coalgebraic of Y(sl2) Moreover, we discuss 3-Hopf algebraic Y(sl2).
Since the industrial revolution of 18th century, modern economic system gradually matured and rapidly expanded in world, especially state capital investment relying on railway, which drastically changed urbanization process city agglomeration pattern around world. At end 19th due to important strategic value Far East, Russia raised capital, built Siberian Railway directly Vladivostok, C.E.R. across Northeast China, induced competition among Japan port railway construction right management...
Many promising optoelectronic devices, such as broadband photodetectors, nonlinear frequency converters, and building blocks for data communication systems, exploit photoexcited charge carriers in graphene. For these it is essential to understand, eventually control, the cooling dynamics of photoinduced hot-carrier distribution. There is, however, still an active debate on different mechanisms that contribute cooling. In particular, intrinsic mechanism ultimately limits remains open...
We investigate the colored Yang—Baxter equation. Based on a trigonometric solution of equation, we construct quantum algebra. Moreover discuss its algebraic Bethe ansatz state and highest wight representation.
After introducing some of the basic definitions and results from theory groupoid Lie algebroid, we investigate discrete Lagrangian mechanics viewpoint give connection between groupoids variation methods first second variational principles.
In the era of big data, with development computer technology, especially comprehensive popularization mobile terminal device and gradual construction Internet Things, urban physical environment social have been comprehensively digitized quantified. Computational thinking mode has gradually become a new for human beings to recognize govern complex system. Meanwhile computational science main discipline aspect modern planning. is using algorithms based on time complexity space complexity,...