摘要
基于Hirota双线性法的理论及指数函数法来研究Sharma-Tasso-Olver(STO)方程,得到STO方程的试探解和双线性系统。通过调整参数,由试探解导出新的丰富形式的精确解,如亮孤子解,暗孤子解,周期解,N-扭结孤立子解等。研究表明,随着参数的变化,STO方程的解的传播特性也随之变化,具有优良传播特性的精确解对于实际物理应用具有积极作用。
Under investigation in this paper is the Sharma-Tasso-Olver（STO）equation.Based on exp-function method and Hirota bilinear method,the bilinear system is deduced and some new soliton solutions are derived.Dark soliton,periodic solution and multi-kink（two kink）solitary wave solutions are sought out formally.By changing the parameters,the characteristics of the solutions of STO equation also changes.And the convenience and simplicity of exp-function method in solving high dimensional mathematical physical equations are verified.
作者
柴玉珍
贾婷婷
CHAI Yuzhen JIA Tingting(College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, Chin)
出处
《太原理工大学学报》
北大核心
2017年第4期677-683,共7页
Journal of Taiyuan University of Technology
基金
山西省研究生教育创新项目资助(02100761)
山西省研究生教育改革研究课题(20132017)
山西省科技厅资助课题(2014041035-3)
