STO方程的新精确解的研究及其双线性化系统
发布时间：2018-09-05 11:59
【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。
[Abstract]:Based on the theory of Hirota bilinear method and exponential function method, the Sharma-Tasso-Olver (STO) equation is studied, and the tentative solution of STO equation and bilinear system are obtained. By adjusting the parameters, some new exact solutions, such as bright soliton solution, dark soliton solution, periodic solution and N-kink soliton solution, are derived from the trial solution. The results show that the propagation characteristics of the solution of the STO equation change with the change of parameters, and the exact solution with excellent propagation characteristics has a positive effect on the practical physical application.
【作者单位】： 太原理工大学数学学院;
【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)
【分类号】：O175.29
本文编号：2224202
[Abstract]:Based on the theory of Hirota bilinear method and exponential function method, the Sharma-Tasso-Olver (STO) equation is studied, and the tentative solution of STO equation and bilinear system are obtained. By adjusting the parameters, some new exact solutions, such as bright soliton solution, dark soliton solution, periodic solution and N-kink soliton solution, are derived from the trial solution. The results show that the propagation characteristics of the solution of the STO equation change with the change of parameters, and the exact solution with excellent propagation characteristics has a positive effect on the practical physical application.
【作者单位】： 太原理工大学数学学院;
【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)
【分类号】：O175.29
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