Search

In this paper, the repeated exp-function method is applied to construct exact traveling wave solutions of the (2+1)-dimensional Boussinesq equation. With aid of symbolic computation, many generalized solitary solutions, periodic solutions and other exact solutions are successfully obtained. Thus, it is proved that the method is straightforward and effective to solve the nonlinear evolutions equations.

First, the background, significance and general implementation of the image definition identification are introduced. Then, basic theory of wavelet transform and neural network is expounded. An identification method of image definition based on the composite model of wavelet analysis and neural network is suggested．The two—dimensional discrete wavelet transformation is used to filter image signal and extract its brim character which is input into BP neural network for identification. 4 layers of BP neural network are constructed to perform image definition identification. The compound model is first trained by 90 images from the training set, and then is tested by 87 images from the testing set. The results show that this is a very effective identification method which can obtain a higher recognition rate.

The non-dispersive infrared absorption spectrum method is one of the important sulfur dioxide concentration measurement method. If the soot particles attach on the protection windows surface, the original measurement light intensity is attenuated because of the absorption and scattering of the soot particle and the sulfur dioxide concentration measurement accuracy is decreased. The protection window pollution question caused by the monodispersion soot particles is discussed in the paper. The numerical simulation results show that the sulfur dioxide concentration measurement accuracy is related to the protection window pollution. The solution method is brought out and the measurement accuracy can be improved.