(1+1)维Chemotaxis模型的新精确解（英文）  

New Exact Solutions for a (1+1)-dimensional Chemotaxis Model

作　　者：田宝单[1,2] 鲜大权[1] 邱燕红[1] 

机构地区：[1]西南科技大学理学院,四川绵阳621010 [2]电子科技大学数学科学学院,四川成都611731

出　　处：《生物数学学报》2015年第4期593-598,共6页Journal of Biomathematics

基　　金：supported by National Natural Science Foundation of China(11372294and 41372301);Scientific Research Fund of Sichuan Provincial Education Department(14ZB0115,15ZB0113);Doctorial Research Fund of Southwest University of Science and Technology(15zx7138)

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.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.

关 键 词：守恒律 指数展开法 Hillen-Levine模型 精确解 

分 类 号：O175[理学—数学]