SOLITONS AND CONSERVATION LAWS IN NEUROSCIENCES

作     者：AN JAN BISWAS ABDUL H. KARA MICHELLE SAVESCU ASHFAQUE H. BOKHARI F. D. ZAMAN 

作者机构：Department of Mathematical Sciences Delaware State University Dover DE 19901-2277 USA Department of Mathematics Faculty of ScienceKing Abdulaziz University Jeddah Saudi Arabia School of Mathematics Centre for Differential EquationsContinuum Mechanics and Applications University of the Witwatersrand Johannesburg Wits 2050 South Africa Department of Mathematics Kuztown University of Pennsylvania 15200 Kutztown Road Kuztown PA 19530 USA ~Department of Mathematics and StatisticsKing Fahd University of Petroleum and Minerals Dhahran 31261 Saudi Arabia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2013年第6卷第3期

页      面：101-107页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 070104[理学-应用数学] 071006[理学-神经生物学] 0701[理学-数学] 

主　　题：Solitons integrability conservation laws neuroscience. 

摘      要：This paper obtains the 1-soliton solution by the ansatz method for the proposed model that governs the propagation of solitons through the neurons. This model is an improved one that describes the solitons in neurosciences more accurately. The ansatz method is applied to obtain the 1-soliton solution to the model. The Lie symmetry analysis is subsequently applied to obtain the conservation laws for the model.