We discuss and prove validity of the Hubbard-Stratonovich (HS) identities over hyperbolic domains which are used frequently in the studies on disordered systems and random matrices. We also introduce a counterpart of the HS identity arising in disordered systems with ”chiral” symmetry. Apart from this we outline a way of deriving the nonlinear σ-model from the gauge-invariant Wegner k−orbital m...

Nomenclature F = state transition matrix H = matrix giving the ideal/noiseless connection between measurements and states I = identity matrix k = time index L = noise sensitivity matrix in nonlinear systems N = lag time constant integer P = estimation-error covariance matrix s = arbitrary time step used in inductive proof xk = state at time index k x̂ = state estimate x̂k = a priori state estimat...

Zhimin JIANG Department of Mathematics, Shangqiu Teachers College, Shangqiu 476000, China Received October 16, 1998; Accepted December 03, 1998 Abstract An eigenvalue problem with a reference function and the corresponding hierarchy of nonlinear evolution equations are proposed. The bi-Hamiltonian structure of the hierarchy is established by using the trace identity. The isospectral problem is ...

Based on a well-known Lie algebra, the multicomponent Guo hierarchy with self-consistent sources is proposed. With the help of a set of non-semisimple Lie algebra, the nonlinear biintegrable couplings of the multicomponent Guo hierarchy with self-consistent sources are obtained. It enriches the content of the integrable couplings of hierarchies with self-consistent sources. Finally, the Hamilto...

we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...

the present study is aimed at assessing the state of national identity among female students of ahwaz islamic azad university and explores the social factors affecting upon it. the statistical society consisted of 8532 students at the three levels of associate diploma undergraduate and master degrees. the research method in this study is a “survey” and collection of data has been carried out by...

Positive solutions of a class of nonlinear elliptic partial diierential equations are shown to be symmetric by means of the moving plane argument coupled with Spectral Theory results and Picone's Identity. The method adapts easily to situations where the moving plane procedure gives rise to variational problems with positive eigenfunctions. 0. Introduction Consider the problem: ?u = p(x)g(u) in...

The i-vector representation and modeling technique has been successfully applied in spoken language identification (SLI). In modeling, a discriminative transform or classifier must be applied to emphasize variations correlated to language identity since the i-vector representation encodes most of the acoustic variations (e.g., speaker variation, transmission channel variation, etc.). Due to the...

This paper is concerned with the normal forms of vector fields with perturbation parameters. Usually, such a normal form is obtained via two steps: first find the normal form of a ‘‘reduced’’ system of the original vector field without perturbation parameters, and then add an unfolding to the normal form. This way, however, it does not yield the relation (transformation) between the original sy...