Abstract:
The B？cklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method. These solutions include the solitary wave solution of rational function, the solitary wave solutions, singular solutions, and the periodic wave solutions of triangle function type. In addition to rederiving some known solutions, some entirely new exact solutions are also established. Explicit and exact particular solutions of many well-known nonlinear evolution equations which are of important physical significance, such as Kolmogorov-Petrovskii-Piskunov equation, FitzHugh-Nagumo equation, Burgers-Huxley equation, Chaffee-Infante reaction diffusion equation, Newell-Whitehead equation, Fisher equation, Fisher-Burgers equation, and an isothermal autocatalytic system, are obtained as special cases.

Abstract:
The extended hyperbolic function method is used to derive abundant exact solutions for generalized forms of nonlinear heat conduction and Huxley equations. The extended hyperbolic function method provides abundant solutions in addition to the existing ones. Some previous results are supplemented and extended greatly.

Abstract:
This paper investigates and analyses different groups of people’s physical fitness skills by using literature research and statistical treatment methods. The result of the investigation shows that physical fitness skill is one of the most important elements influencing physical fitness activities. Therefore, this paper suggests China need to perfect the system of community physical instructor, reform physical education in schools and finally improve national physical fitness skills. This paper also provides certain reasons for enhancing national physical fitness activities and the application of “National Fitness Program”. Key words: Fitness Activities; Fitness Skills; Situation;Investigation

In LTE (Long Term Evolution) system, CQI (Channel
Quality Indication) is a technical method to realize adaptive modulation and
coding. The dispatcher of BS (base station) would allocate resource blocks to
users dynamically based on CQI of uplink and downlink channels, which is necessary
in the process of uplink and downlink transmission [1]. When the CQI level of
the channel is high, the energy efficiency is high. On the contrary, when the
CQI level of the channel is low, the energy efficiency is low. However, if
signals are not transmitted until the quality of the channel is good, energy
loss may be lowered in the expense of group delay. That is to say, we take CQI
into account on the basis of the technology of DTX [2] [3] (Discontinuous
Transmission). According to the result of simulation, the energy consumption can
be reduced by using our proposed scheme. Particularly, the energy-saving effect
is significant when the load is low.

Abstract:
Yeast Pichia stipitis CBS 5776 was developed through adaptation fermentation step by step in steam exploded corn stover prehydrolyzate because high concentration of weak acids and other inhibitors present in the prehydrolyzate could degrade the fermentability. However, the adaptability of Pichia stipitis CBS 5776 in the prehydrolyzate was so limited that steam strip-ping and overliming were applied to remove these inhibitors from it. Corn stover was steam exploded; the filtrate of steam exploded corn stover was hydrolyzed with dilute sulfuric acid, and then the acid hydrolyzate was detoxified and fermented by Pichia stipitis CBS 5776. Steam stripping could remove volatile com-pounds from the acid hydrolyzate and the fil-trate. At a steam stripping time of 120min, 81% acetic acid and 59% formic acid were removed from the acid hydrolyzate, 77% acetic acid and 45% formic acid were removed from the filtrate, while furfural was stripped off completely from the acid hydrolyzate and the filtrate. Overliming could reduce the contents of furfural and phe-nolics present in the acid hydrolyzate, however, sugars, especially pentoses, were also removed partially. It was necessary to detoxify the acid hydrolyzate in order to ferment the sugars to ethanol. Acid hydrolyzate detoxified with a combination of steam stripping for 120 min and overliming at pH11 and 60℃ for 90 min, its fer-mentability was significantly improved. Xylose was consumed nearly completely in 24h with an ethanol yield of 15.92g/l, 80.34% of theoretical.

Abstract:
In recent years, mobile devices have become widespread and refined, and they have offered increased convenience in human life. For these reasons, a variety of embedded systems have been designed. Therefore, improving methods for developing of embedded software systematically has become an important issue. Platform-based design is one example of an embedded-system design method that can reduce the design cost via improving a design’s abstraction level. However, platform-based design lacks precise definitions for platforms and design processes. This paper provides an approach that combines the aspects and platform-based design methods for developing embedded software. The approach is built on platform-based design methodology and uses the separating of concerns (SoC) concept to define the aspects and to reduce the crosscutting concerns in embedded system modeling. For aspect issues, we use the extended UML notation with aspects to describe both the static structure and the dynamic structure of the embedded system. We used an example of a digital photo frame system to demonstrate our approach.

Abstract:
On the basis of the computer symbolic system Maple and the extended hyperbolic function method, we develop a more mathematically rigorous and systematic procedure for constructing exact solitary wave solutions and exact periodic traveling wave solutions in triangle form of various nonlinear partial differential equations that are with physical backgrounds. Compared with the existing methods, the proposed method gives new and more general solutions. More importantly, the method provides a straightforward and effective algorithm to obtain abundant explicit and exact particular solutions for large nonlinear mathematical physics equations. We apply the presented method to two variant Boussinesq equations and give a series of exact explicit traveling wave solutions that have some more general forms. So consequently, the efficiency and the generality of the proposed method are demonstrated.

Abstract:
We present a new methodology for studying the mean-square exponential stability and instability of nonlinear nonholonomic systems under disturbance of Gaussian white-noise by the first approximation. Firstly, we give the linearized equations of nonlinear nonholonomic stochastic systems; then we construct a proper stochastic Lyapunov function to investigate the mean-square exponential stability and instability of the linearized systems, and thus determine the stability and instability in probability of corresponding competing systems. An example is given to illustrate the application procedures.

On
a woman with severe intrauterine adhesions, hysteroscopy followed by cyclical
hormone replacement therapy was tried for 5 months, for development of the
endometrium. When this failed, autologous stem cells were tried as an
alternative therapy. Adult autologous bone marrow mesenchymal stem cells isolated
from patient’s own bone marrow and were cultured and placed in the
endometrial cavity under ultrasound guidance after curettage. Patient was
then given cyclical hormonal therapy. Endometrium was assessed intermittently
using ultrasound. Three months later, endometrium partly recovered with
improved ultrasonic echo. This resulted in spontaneous pregnancy followed by
confirmation of gestational sac, yolk sac, and primitive heart tube pulse on
ultrasound. Autologous bone marrow derived mesenchymal stem cells could
regenerate injured endometrium not responding to conventional treatment and
can be used as an alternative in females with severe Asherman’s syndrome.

Abstract:
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation. Then, using the first integral method we obtain the exact solutions of VC-mKdV equation, such as rational function solutions, periodic wave solutions of triangle function, bell-shape solitary wave solution, kink-shape solitary wave solution, Jacobi elliptic function solutions, and Weierstrass elliptic function solution. Furthermore, with the aid of Mathematica, the extended hyperbolic functions method is used to establish abundant exact explicit solution of VC-mKdV equation. By the results of the equation, the first integral method and the extended hyperbolic function method are extended from the constant coefficient nonlinear evolution equations to the variable coefficients nonlinear partial differential equation. 1. Introduction It is well known that the KdV equation plays an important role in the soliton theory. Many properties of the KdV equation, such as symmetry, B？cklund transformation, infinite conservation laws, Lax pairs, and Painleve analysis, have been studied. Miura transformation links the KdV equation with the mKdV equation. Therefore, as the KdV equation, mKdV equation is also important in mathematical physics field. In recent years, some authors considered the constant coefficients mKdV equation [1–4]. However, in practical applications, the coefficients of nonlinear evolution equations vary with time and space. Therefore, the exact solution of the variable coefficient nonlinear evolution equations has a greater application value. This paper will discuss the variable coefficients mKdV equation (VC-mKdV): where , and are arbitrary function of variable . More recently, some properties of the variable coefficients mKdV equation have been studied [5–18]. The aim of this paper is to apply the first integral method and the extended hyperbolic function method for constructing a series of explicit exact solutions to the VC-mKdV equation (1), such as rational function solutions, periodic wave solutions of triangle functions, bell-shape solitary wave solution, kink-shape solitary wave solution, Jacobi elliptic function solutions, Weierstrass elliptic function solution, and many exact explicit solutions in form of the rational function of hyperbolic function and the rational function of triangle function. The rest of this paper is organized as follows. In Section 2, the outline of the first integral method will be given. In Section 3 we introduce a transformation