摘要
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的有界行波,画出了该方程平面系统的相图分支,并根据相图找到了有界行波的存在条件,求出了有界行波的解.用数学软件Maple对行波方程进行了数值模拟,得到了有界行波的平面模拟图,进一步验证了理论分析的结果.
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the bounded traveling waves of a nonlinear quartic wave equation.The bifurcation phase portraits are drawn.The parameter conditions that the bounded traveling waves appear are found,and their solutions are obtained.The planar graphs of the traveling wave equation are simulated by mathematical software Maple.The numerical simulation and qualitative results are identical.
出处
《玉溪师范学院学报》
2007年第3期11-16,共6页
Journal of Yuxi Normal University
关键词
波动方程
有界行波
周期轨
同宿轨
Wave Equation
Bounded Traveling Wave
Periodic Orbit
Homoclinic Orbit
