Rangwala-Rao方程的显式精确解及其分支  

Explicit exact solutions of solitary waves and bifurcation in the Rangwala-Rao equation

作　　者：王美娟[1] 张卫国[1] 东春彦[1] 田卫中[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2006年第3期265-269,共5页Journal of University of Shanghai For Science and Technology

摘　　要：运用动力系统的几何理论、分支理论及大量的积分运算,求出了Rangwala Rao方程的型如u(x,t)=ei(φ(ξ)-ωt)a(ξ),ξ=x-vt的5种显式精确孤波解.本文包含了以往文献所得的结果,且给出了若干新解.By using the qualitative theory and bifurcation theory of planar dynamical systems, five kinds of the explicit exact solutions of solitary waves in the explicit form of e^i（φ（ε）-ωt）a（ξ）, ξ=x-vt, are obtained. The results in the paper improve all of the relative results, moreover several more explicit exact solitary wave solutions are obtained.

关 键 词：精确解 Rangwala-Rao方程 LIENARD方程 同宿轨 异宿轨 

分 类 号：O175[理学—数学]