摘要
用动力系统分支方法研究了 a>0 ,δ>0 ,b∈ R的非线性方程ut+a(1 +bu3 ) u3 ux+δuxxx=0给出了参数空间的划分 ,在各种参数条件下得到了孤立波的个数 ,在某些参数条件下得到了孤立波解的解析表达式。
The equation u t+a(1+bu 3)u 3u x+δu xxx=0 with a>0,δ>0 and b∈R is investigated by using the bifurcation theory of dynamical systems to analyze them qualitatively. Bifurcation parameter sets are shown; number of solitary waves are given. Under some parameter conditions, explicit solitary wave solutions are obtained.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2001年第4期262-264,267,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
