A Maple Package on Symbolic Computation of Conserved Densities for （1＋l）-Dimensional Nonlinear Evolution Systems

A new algorithm for symbolic computation of polynomial-type conserved densities for nonlinear evolution systems is presented. The algorithm is implemented in Maple. The improved algorithm is more efficient not only in removing the redundant terms of the genera/form of the conserved densities but also in solving the conserved densities with the associated flux synchronously without using Euler operator. Furthermore, the program conslaw.mpl can be used to determine the preferences for a given parameterized nonlinear evolution systems. The code is tested on several well-known nonlinear evolution equations from the soliton theory.

Evolution process of rock mass engineering system using systems science

The rock mass engineering system （RMES） basically consists ofrock mass engineering （RME）, water system and surroundingecological environments, etc. The RMES is characterized by nonlinearity,occurrence of chaos and self-organization （Tazaka, 1998;Tsuda, 1998; Kishida, 2000）. From construction to abandonmentof RME, the RMES will experience four stages, i.e. initial phase,development phase, declining phase and failure phase. In thiscircumstance, the RMES boundary conditions, structural safetyand surrounding environments are varied at each phase, so arethe evolution characteristics and disasters （Wang et al., 2014）.

Enhancement and Evolution of TD-SCDMA Systems

Time Division-Synchronous Code Division Multiple Access (TD-SCDMA),a home-grown standard for the third generation mobile communications,is already mature and ready for commercial deployment. The enhancement and evolution of the TD-SCDMA system is a hot topic recently. Many strategies for TD-SCDMA enhancements and evolutions have been proposed,but there are no integrated solutions that can jointly consider the development both in the short term and in the long term. This paper discusses four evolution phases,which are proposed according to the key technologies. Phase 1 is about the current TD-SCDMA system. Phase 2 is the short term evolution of TD-SCDMA,i.e.,the period of HSxPA,including the evolution of High Speed Downlink Packet Access (HSDPA),High Speed Uplink Packet Access (HSUPA) and High Speed Packet Access plus (HSPA+). Phase 3 is the Long Term Evolution (LTE). Phase 4 is the Beyond 3G (B3G)/Fourth Generation (4G) mobile communication Time Division Duplex (TDD) system,which is based on TD-SCDMA. Key characters for every evolution phase are discussed,as well as the advanced technologies adopted in the evolution process such as Multiple Input Multiple Output (MIMO) and Orthogonal Frequency Division Multiplexing (OFDM).

Forming different planetary systems

With the increasing number of detected exoplanet samples, the statistical properties of planetary systems have become much clearer. In this review, we sum- marize the major statistical results that have been revealed mainly by radial velocity and transiting observations, and try to interpret them within the scope of the classical core-accretion scenario of planet formation, especially in the formation of different orbital architectures for planetary systems around main sequence stars. Based on the different possible formation routes for different planet systems, we tentatively classify them into three major catalogs： hot Jupiter systems, standard systems and distant giant planet systems. The standard systems can be further categorized into three sub-types under different circumstances： solar-like systems, hot Super-Earth systems, and sub- giant planet systems. We also review the theory of planet detection and formation in binary systems as well as planets in star clusters.

Impulse Observability and Impulse Controllability of Regular Degenerate Evolution Systems

Impulse observability and impulse controllability of regular degenerate evolution systems are discussed by using functional analysis and operator theory in Banach space. Necessary and sufficient conditions for the impulse observability and impulse controllability of the system are obtained. This research is theoretically important for studying the design of the degenerate evolution system.

Blow-up of Solutions for a Time-space Fractional Evolution System

In this paper, firstly, we study the local existence and uniqueness of mild solutions for fractional evolution systems with nonlocal in time nonlinearity. Then, we claim that such a mild solution is weak solution of this system. Finally, we prove a blow-up result under some conditions.

EXISTENCE RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theories of evolution systems,we prove some existence theorems. As an application,an example is also given to illustrate the obtained results.