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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Fractal solutions of multi-component systems of dispersive evolution equations
色散演化方程 多分量系统 分形解
2023/4/27
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
2012/6/14
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
Boussinesq-like multi-component lattice equations and multi-dimensional consistency
Boussinesq-like multi-component lattice equations multi-dimensional
2010/11/10
We consider quasilinear, multi-variable, constant coefficient, lattice equations defined on the edges of the elementary square of the lattice, modeled after the lattice modified Boussinesq (lmBSQ) eq...
Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
Yang-Yang method one-dimensional multi-component
2010/11/24
Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general $SU(\kappa)$ fermionic system in one-dimension for both the...
Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
Multi-component generalizations {CH} equation Geometrical Aspects Peakons Numerical Examples
2010/12/16
The Lax pair formulation of the two-component Camassa-Holm equation (CH2) is generalized to produce an integrable multi-component family, CH(n,k), of equations with n components and 1 jkj n veloci...
Bose-Einstein condensates with F=1 and F=2. Reductions and soliton interactions of multi-component NLS models
multicomponent nonlinear Schrodinger equations scattering method soliton interactions
2010/4/1
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scat...
On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates
multicomponent nonlinear Schrodinger equations symmetric BD.I-type symmetric spaces
2010/4/1
We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyan...
Efficiency measurement of multi-component decision making units using data envelopment analysis
Data envelopment analysis Decision making unit
2010/9/17
Ordinary DEA models, such as the CCR and BCC models, are not able to measure the efficiency of multi-component decision making units. In management science, there is a need for methods that are capabl...
Multi-component Generalizations of Four Integrable Differential-difference Equations: Soliton Solutions and Bilinear Backlund Transformations
Soliton Solutions Bilinear Backlund Transformations
2012/7/31
Bilinear approach is applied to derive integrable multi-component generalizations of the socalled 1+1 dimensional special Toda lattice, the Volterra lattice, a simple di甧rential-di甧rence equation foun...
Level-one Highest Weight Representation of $U_q[\hat{sl(N|1)}]$ and Bosonization of the Multi-component Super t-J Model
Level-one Highest Weight Representation Multi-component Super t-J Model
2010/11/1
We study the level-one irreducible highest weight representations of the quantum affine superalgebra $U_q[\hat{sl(N|1)}]$, and calculate their characters and supercharacters. We obtain bosonized q-ve...