【摘要】 本文对一个简化的(1+1)维Hillen-Levine双曲趋化模型进行研究.利用模型的守恒律构造了一个特殊变换,将模型变为二阶非线性常微分系统,在此基础上借助指数展开法得到了该模型的一些新精确解,最后还对其中的某些具有代表性的解绘制了图像.更多还原

【Abstract】 In this paper,a simplified(l+l)-dimensional Hillen-Levine hyperbolic model for chemotaxis model is studied.By using the conservation law of the model,a special transformation formula has been found,which transforms the nonlinear partial differential model to a second-order ordinary differential system.Then,some new exact solutions of the model are obtained by the exp-expansion method.Furthermore,some of representative figures of those solutions are plotted finally.更多还原