搜索结果: 16-30 共查到“数学 TRANSFORMATIONS”相关记录35条 . 查询时间(0.125 秒)
Geometric transformations and soliton equations
Differential Geometry (math.DG) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
We give a survey of the following six closely related topics: (i) a general method for constructing a soliton hierarchy from a splitting of a loop algebra into positive and negative subalgebras, toget...
On Non-point Invertible Transformations of Difference and Differential-difference Equations
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are ...
Equivalence of domains for hyperbolic Hubbard-Stratonovich transformations
hyperbolic Hubbard-Stratonovich transformations math
2010/11/11
We settle a long standing issue concerning the traditional derivation of non-compact non-linear sigma models in the theory of disordered electron systems: the hyperbolic Hubbard-Stratonovich (HS) tran...
On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...
Bäcklund Transformations as exact integrable time-discretizations for the trigonometric Gaudin model
Bä cklund Transformations trigonometric Gaudin model integrable time-discretizations
2010/4/2
We construct a two-parameter family of B\"acklund transformations for the trigonometric classical Gaudin magnet. The approach follows closely the one introduced by E.Sklyanin and V.Kuznetsov (1998,199...
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Bä cklund Transformations Trigonometric Gaudin Magnet
2010/4/6
We construct a Backlund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of ...
Darboux transformations for two dimensional elliptic affine Toda equations
dimensional elliptic affine Toda equations Darboux transformation
2010/4/7
The Darboux transformations for the two dimensional elliptic affine Toda equations corresponding to all seven infinite series of affine Kac-Moody algebras, including $A_l^{(1)}$, $A_{2l}^{(2)}$, $A_{2...
Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
twisted derivation super KdV equation quasideterminant solutions
2010/4/7
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twisted derivation $D$ satisfying $D(AB)=D(A)+\sigma(A)B$ where $\sigma$ is a homomorphism. Such twiste...
Self-equivalence 3-rd order ODEs by time-¯xed transformations
Lie group Jet bundle Cartan equivalence problem Gardner method of moving frame
2009/1/4
Let y000 = f(x; y; y0; y00) be a 3-rd order ODE. By Cartan equiv-
alence method, we will study the local equivalence problem under the
transformations group of time-¯xed coordinates.
M.S.C. 20...
Expanded Lie group transformations
Lie group Lie algebra symmetry optimal system invariant
2010/9/14
Continuous groups of transformation acting on the expnded space of variables, which includes the equation parameters in addition to independent and dependent variables, are considered. It is shown tha...
Parametric probability densities and distribution functions for Tukey g-and-h transformations and their use for fitting data
Distribution fitting Moments Monte Carlo Non-normality
2010/9/10
The family of g-and-h transformations are popular algorithms used for simulating non-normal distributions because of their simplicity and ease of execution. In general, two limitations associated with...
In a recent paper the author has published the result, ofsome,investigations on the periodic sequences of Laplace of periodfour with a stratifiable couple of diagonal congruences.Thedeterinination of ...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
THE DUAL SPACES OF SETS OF DIFFERENCE SEQUENCES OF ORDER $m$ AND MATRIX TRANSFORMATIONS
difference sequences dual spaces matrix transformations
2007/12/11
Let $p=(p_{ k})_{k=0}^{\infty}$ be a bounded sequence of positive reals, $m\in{\Bbb N}$ and $u$ be s sequence of nonzero terms. If $x=(x_{k})_{k=0}^{\infty}$ is any sequence of complex numbers we writ...
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...