Multisoliton solutions and integrability aspects of coupled nonlinear Schrodinger equations

Using Painleve singularity structure analysis, we show that coupled higher-order nonlinear Schrodinger (CHNLS) equations admit Painleve property. Using the results of Painleve analysis, we succeed in Hirota bilinearizing the CHNLS equations, one soliton and two soliton solutions are explictly obtained. Lax pairs are explictly constructed.Comment: Eight pages and six figures. Physical Review E (to be appear

Data Sciences Technology for Homeland Security Information Management and Knowledge Discovery

The Department of Homeland Security (DHS) has vast amounts of data available, but its ultimate value cannot be realized without powerful technologies for knowledge discovery to enable better decision making by analysts. Past evidence has shown that terrorist activities leave detectable footprints, but these footprints generally have not been discovered until the opportunity for maximum benefit has passed. The challenge faced by the DHS is to discover the money transfers, border crossings, and other activities in advance of an attack and use that information to identify potential threats and vulnerabilities. The data to be analyzed by DHS comes from many sources ranging from news feeds, to raw sensors, to intelligence reports, and more. The amount of data is staggering; some estimates place the number of entities to be processed at 1015. The uses for the data are varied as well, including entity tracking over space and time, identifying complex and evolving relationships between entities, and identifying organization structure, to name a few. Because they are ideal for representing relationship and linkage information, semantic graphs have emerged as a key technology for fusing and organizing DHS data. A semantic graph organizes relational data by using nodes to represent entities and edges to connect related entities. Hidden relationships in the data are then uncovered by examining the structure and properties of the semantic graph

Dyslexia in Chinese: Clues from Cognitive Neuropsychology

In this review, we describe a series of cognitive neuropsychological studies of Chinese speaking aphasic patients that reveal subtypes of acquired dyslexia and dysgraphia in Chinese. These subtypes can be understood with reference to a cognitive framework that assumes reading and writing to dictation in Chinese depends on the division of labor between two pathways: a lexical-semantic pathway and a direct or nonsemantic pathway. This framework generates a number of predictions about the types of literacy problems that might be observed in native Chinese speakers who are learning to read and write. We argue that the language environment, and specifically the type of script used to read and write, will play a role in determining the phenotype of dyslexia in Chinese. We conclude that dyslexia in Chinese can be caused by psycholinguistic impairments at multiple levels including orthographic, semantic (morphological), and phonological processing.link_to_subscribed_fulltex