粗纱工序机械波分析

为了稳定控制成纱质量,消除机械波,介绍粗纱工序机械波的分类及产生原因,根据FA423A型粗纱机传动图计算各部件产生机械波的波长,分析了粗纱工序几种特殊机械波产生的原因,提出生产中消除机械波的预防措施,给出了分析粗纱工序机械波的基本方法及分析过程中的注意事项。指出,要重视对粗纱工序机械波的分析,做到具体观察、分析、跟踪试验,在实践中总结积累经验,达到稳定控制成纱质量的目的。

扩展浅水波方程的精确相互作用解

将相容的双曲正切函数展开法(CTE方法)和截断Painlevé分析法应用于扩展浅水波方程,并通过这两个方法求解相容性方程的若干精确相互作用解,包括如孤子与周期波相互作用解、变振幅周期波与椭圆周期波相互作用解.

Applications of F-expansion to Periodic Wave Solutions for Variant Boussinesq Equations

We present an F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed recently. By using the F-expansion, without calculating Jacobi elliptic functions, we obtain simultaneously many periodic wave solutions expressed by various Jacobi elliptic functions for the variant Boussinesq equations. When the modulus m approaches 1 and O, the hyperbolic function solutions （including the solitary wave solutions） and trigonometric solutions are also given respectively.

Relationship between the Periodic Fluctuations of Pressure and Precipitation during a Rainstorm

The relationship between periodic fluctuations of pressure and precipitation was investigated using the continuous wavelet transform and wavelet coherence transform methods for a rainstorm case that occurred during 19–25 June 2005 in Guangdong Province, China. The results show that a period of 2–4 h existed in both pressure and precipitation fluctuations. Furthermore, this high frequency pressure fluctuation was closely related to the fluctuation of precipitation with a similar period, and the fluctuation of pressure was about two hours ahead of the precipitation fluctuation variation. Since the high frequency pressure fluctuation implies the existence of gravity wave activity, the results suggest that gravity wave activities with a 2–4 h period in the atmosphere exerted an important influence on precipitation during this rainstorm.

The Properties of Finitely Generated Shift-invariant Subspace in L_(2π)~2

In this paper, some properties of shift invariant subspace in Periodic wavelets theory are discussed.

Multi-Time Scale Analysis of Runoff at the Yangtze Estuary Based on the Morlet Wavelet Transform Method

Runoff series of the Yangtze River presents an intricate variation tendency under the reinforced influence of human activities.The Morlet Wavelet Transform method has been applied to analyze the annual runoff data from 1950 to 2011 at the Yangtze River Estuary.It can clearly reveal the multi-time scales structure,break point,change and distribution of periodic variation in the different time scales of the runoff series.The main conclusions are that:1) Repeated periodic oscillations accompanied by an extremely large fluctuation are presented in the runoff series with an obvious difference between wet and dry years,and the major periods of the time series are about 3,8,16 and 23 years respectively.Among them,the presented maximum periodic oscillation is 23 years scale.2) In the 23-year time scale,the wet periods are 1950-1958,1969-1980 and 1992-2003,and the dry periods are 1959-1968,1981-1991 and 2004-2011.3) It can be predicted from the view of long time scales that the low annual runoff will likely occur in the near future.

New Families of Rational Form Variable Separation Solutions to(2+1)-Dimensional Dispersive Long Wave Equations

With the aid of symbolic computation system Maple, some families of new rational variable separation solutions of the （2＋1）-dimensional dispersive long wave equations are constructed by means of a function transformation, improved mapping approach, and variable separation approach, among which there are rational solitary wave solutions, periodic wave solutions and rational wave solutions.

Doubly Periodic Propagating Wave Patterns of （2＋1）-Dimensional Maccari System

Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the （2＋ 1）-dimensional Maccari system. By introducing Jacobi elliptic functions dn and nd in the seed solution, two types of doubly periodic propagating wave patterns are derived. We invest/gate the wave patterns evolution along with the modulus k increasing, many important and interesting properties are revealed.

Solitons with Periodic Behavior in Korteweg-de Vries Type Models Related toSchrodinger System

The linear variable separation approach is successfully extended to(1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrodinger system. Somesignificant types of solitons such as compaction, peakon, and loop solutions with periodic behaviorare simultaneously derived from the (l+l)-dimensional soliton system by entrancing appropriatepiecewise smooth functions and multivalued functions.

Modal recovery of sea-level variability in the South China Sea using merged altimeter data

Using 20 years （1993-2012） of merged data recorded by contemporary multi-altimeter missions, a variety of sea-level variability modes are recovered in the South China Sea employing three- dimensional harmonic extraction. In terms of the long-term variation, the South China Sea is estimated to have a rising sea-level linear trend of 5.39 mm/a over these 20 years. Among the modes extracted, the seven most statistically significant periodic or quasi-periodic modes are identified as principal modes. The geographical distributions of the magnitudes and phases of the modes are displayed. In terms of intra- annual and annual regimes, two principal modes with strict semiannual and annual periods are found, with the annual variability having the largest amplitudes among the seven modes. For interannual and decadal regimes, five principal modes at approximately 18, 21, 23, 28, and 112 months are found with the most mode- active region being to the east of Vietnam. For the phase distributions, a series of amphidromes are observed as twins, termed ＂amphidrome twins＂, comprising rotating dipole systems. The stability of periodic modes is investigated employing joint spatiotemporal analysis of latitude/longitude sections. Results show that all periodic modes are robust, revealing the richness and complexity of sea-level modes in the South China Sea.

Diurnal Variation of Tropical Cyclone Rainfall in the Western North Pacific in 2008-2010

Diurnal variation of tropical cyclone （TC rainfall in the western North Pacific （WNP） is investi gated using the high-resolution Climate Prediction Ce~ ter＇s morphing technique （CMORPH） products obtaine from the National Oceanic and Atmospheric Administra tion （NOAA）. From January 2008 to October 2010, 7 TCs and 389 TC rainfall days were reported by the Joir Typhoon Warning Center＇s （JTWC） best-track record. Th TC rain rate was partitioned using the Objective Synopti Analysis Technique （OSAT） and interpolated into Local Standard Time （LST）. Harmonic analysis was applied t analyze the diurnal variation of the precipitation. Obviou diurnal cycles were seen in approximately 70% of the TC rainfall days. The harmonic amplitude and phase of the mean TC rainfall rate vary with TC intensity, life stage, season, and spatial distribution. On the basis of intensity, tropical de- pressions （TDs） exhibit the highest precipitation variation amplitude （PVA）, at approximately 30%, while super ty- phoons （STs） contain the lowest PVA, at less than 22%. On the basis of lifetime stage, the PVA in the decaying stage （more than 37%） is stronger than that in the devel oping （less than 20%） and sustaining （28%） stages. On the basis of location, the PVA of more than 35% （less than 18%） is the highest （lowest） over the high-latitude oceanic areas （the eastern ocean of the Philippine Islands）. In ad dition, a sub-diurnal cycle of TC rainfall occurs over the high-latitude oceans. On the basis of season, the diurnal variation is more pronounced during summer and winter, at approximately 30% and 32%, respectively, and is weaker in spring and autumn, at approximately 22% and 24%, respectively.

Quasi-periodic and Non-periodic Waves in （2q-1）-Dimensional Nonlinear Systems

New exact quasi-periodic and non-periodic solutions for the （2＋ 1）-dimensional nonlinear systems are studied by means of the multi-linear variable separation approach （MLVSA） and the Jacobi elliptic functions with the space-time-dependent modulus. Though the result is valid for all the MLVSA solvable models, it is explicitly shown for the long-wave and short-wave interaction model.

On Triply Periodic Wave Solutions for(2+1)-Dimensional Boussinesq Equation

By employing Hirota bilinear method and Riemann theta functions of genus one,explicit triply periodic wave solutions for the(2+1)-dimensional Boussinesq equation are constructed under the Backlund transformation u =(1 /6)(u0 1) + 2[ln f(x,y,t)] xx,four kinds of triply periodic wave solutions are derived,and their long wave limit are discussed.The properties of one of the solutions are shown in Fig.1.

Exact Solutions,Symmetry Reductions,Painlevé Test and Bcklund Transformations of A Coupled KdV Equation

A coupled KdV equation is studied in this manuscript. The exact solutions, such as the periodic wave solutions and solitary wave solutions by means of the deformation and mapping approach from the solutions of the nonlinear φ4 model are given. Using the symmetry theory, the Lie point symmetries and symmetry reductions of the coupled KdV equation are presented. The results show that the coupled KdV equation possesses infinitely many symmetries and may be considered as an integrable system. Also, the Palnleve test shows the coupled KdV equation possesses Palnleve property. The Backlund transformations of the coupled KdV equation related to Palnleve property and residual symmetry are shown.