摘要
采用双曲函数的幂级数表示一类非线性演化方程utt+auxx+bu +cu3 =0 的特定解 ,根据领头项分析 ,这种函数级数解可以被截断为只有几项的形式———截断解 ,由此进一步得到它的扭状孤波解、钟状孤波解和扭状孤波解与钟状孤波解的复线性组合解 .
In this paper, the power series of hyperbolic functions has been adopted to present a specified solution for a kind of nonlinear evolution equation u t t+au xx+bu+cu^3=0. According to the analysis of the leading terms, this function series solution could be terminated into a form containing only a few termsterminating solution. The kink soliton solution, bell soliton solution and their complex linear combined solutions were obtained respectively.
出处
《浙江师大学报(自然科学版)》
CAS
2001年第4期349-352,共4页
Journal of Zhejiang Normal University(Natoral Sciences)