We prove local existence and uniqueness of solutions for the one-dimensional nonlinear Schrödinger (NLS) equations iut + uxx ± |u| 2 u = 0 in classes of smooth functions that admit an asymptotic expansion at infinity in decreasing powers of x. We show that an asymptotic solution differs from a genuine solution by a Schwartz class function which solves a generalized version of the NLS equation. ...

In the past three decades, traveling wave solutions to the Korteweg–de Vries equation have been studied extensively and a large number of theoretical issues concerning the KdV equation have received considerable attention. These wave solutions when they exist can enable us to well understand the mechanism of the complicated physical phenomena and dynamical processes modeled by these nonlinear e...

The preparation and conditioning of DNA-modi®ed electrodes, in which glassy carbon electrodes are covered by a thick ®lm of double-stranded DNA and subsequently conditioned in acetate bu€er, has been followed with Electrochemical Impedance Spectroscopy. Spectra were recorded at di€erent values of applied potential in order to probe the alterations occurring in the modi®er layer. The alterations...

|This paper describes the application of fuzzy set theory in medical imaging, namely the segmentation of brain images. We propose a fully automatic technique to obtain image clusters. A modi ed fuzzy c-mean (FCM) classi cation algorithm is used to provide a fuzzy partition. Our new method, inspired from the Markov Random Field (MRF), is less sensitive to noise as it lters the image while cluste...

In many multivariate statistical techniques, a set of linear functions of the original p variables is produced. One of the more difŽ cult aspects of these techniques is the interpretation of the linear functions, as these functions usually have nonzero coefŽ cients on all p variables. A common approach is to effectively ignore (treat as zero) any coefŽ cients less than some threshold value, so ...

The complex -symmetric nonlinear wave models have drawn much attention in recent years since the complex -symmetric extensions of the Korteweg-de Vries (KdV) equation were presented in 2007. In this review, we focus on the study of the complex -symmetric nonlinear Schrödinger equation and Burgers equation. First of all, we briefly introduce the basic property of complex symmetry. We then report...

We propose the weight biased leftist tree as an alternative to traditional leftist trees CRAN for the representation of mergeable priority queues A modi ed version of skip lists PUGH that uses xed size nodes is also proposed Experimental results show our modi ed skip list structure is faster than the original skip list structure for the representation of dictionaries Experimental results compar...

The purpose of object matching is to decide the similarity between two objects. This paper introduces 24 possible distance measures based on the Hausdor distance between two point sets. These measures can be used to match two sets of edge points extracted from any two objects. Based on our experiments on synthetic images containing various levels of noise, we determined that one of these distan...

In the work the thermal behaviour of the magnetic nanoparticles modi ed with polysaccharide dextran of di erent weight ratios to the magnetite Fe3O4 was investigated using thermoanalytical methods di erential scanning calorimetry and thermogravimetric analysis. The adsorption of dextran on the magnetic nanoparticles was con rmed and the in uence of the dextran amount in the modi ed magnetic uid...