摘要
应用exp—函数法求得(n+1)维sine-Gordon方程的单孤子解、双孤子解、三孤子解,通过选取适当的参数,分别做出了单孤子解、双孤子解、三孤子解的函数图像,刻画了解的结构和性质.实践证明,应用exp-函数法研究非线性偏微分方程具有十分重要的作用和意义.
The single-soliton solution, the double-soliton solution and the three-soliton solution for the （n＋ 1）-dimensional sine-Gordon equation axe obtained by using the exp- function method. By choosing the appropriate parameters, the single-soliton solution, the double-soliton solution and the three-soliton solution are respectively obtained, and the struc- ture and properties of the solutions are described. Practice has proved that the application of exp-function method to study nonlinear partial differential equations has a very important role and significance.
作者
杨娟
冯庆江
YANG Juan;FENG Qing-jiang(School of Mathematics Sciences, Kaili University, Kaili 556000, Chin)
出处
《数学的实践与认识》
北大核心
2017年第21期265-270,共6页
Mathematics in Practice and Theory
基金
贵州省教育厅青年科技人才成长项目(黔教合KY字[2016]304)
