Spiral Wave Solutions Of Some Nonlinear Partial Differential Equations

With the development of science and technology, non-linear in the natural sciences andsocial sciences have become increasingly important，pelple’ concern for nonlinear problems isalso growing. It is studied about the exact solution of nonlinear partial differential equations andthe application of video retrieval model on Chinese character recognition.1. The exact solution of nonlinear partial differential equations.Much nonlinear phenomena can be explained by various solutions of the nonliear partialdifferential equations. In order to get more new solutions of equations, many methods have beenproposed for nonlinear equations. Such as the homogeneous balance method, Jacobi ellipticfunction method and so on. They are used to solve the nonlinear Schr(o|")dinger equation andGinzburg-Landau equation for spiral wave solutions, which can describe spiral diffusion ofnonspherical organic molecules through the carbon nanotubes.2. The application of video retrieval model on Chinese character recognition.When images are preprocessed in a complex background with low quality like affinetransform and its recognition accuracy declined significantly. Taking an effective method is toextract key frames from the video template and their feature vectors, apply clustering algorithmto form keywords, and retrieve the target video through a fast search algorithm. This paperinnovatively applies the model to the study of Chinese character recognition. Through a largenumber of experimental data, this model outperforms traditional OCR under such variances.Therefore, this model enjoys a good prospect of application in the future.