| 一类广义Burgers-Huxley方程的解与其分支 |
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| 引用本文： | 王勤龙,邓习军.一类广义Burgers-Huxley方程的解与其分支[J].数学的实践与认识,2010,40(1). |
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| 作者姓名： | 王勤龙 邓习军 |
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| 作者单位： | 长江大学,信息与数学学院,湖北,荆州,434023 |
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| 基金项目： | 湖北省教育厅科学技术研究基金(Q20091209) |
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| 摘 要： | 运用平面动力系统分支理论和可积性判定方法,研究了一类广义Burgers-Huxley方程,首先通过新的算法计算奇点量,解决了其可积性问题,然后进行平衡点类型分析,并讨论了在不同的参数条件下的相图与分支类型,利用Maple软件绘出分支相图,最后讨论了各种行波解的存在性及方程的精确解.
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| 关 键 词： | 广义Burgers-Huxley方程 孤立波 周期波 奇点量 |
Solutions and Its Bifurcation for a Generalized Burgers-Huxley Equation |
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| WANG Qin-long,DENG Xi-jun.Solutions and Its Bifurcation for a Generalized Burgers-Huxley Equation[J].Mathematics in Practice and Theory,2010,40(1). |
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| Authors: | WANG Qin-long DENG Xi-jun |
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| Institution: | WANG Qin-long,DENG Xi-jun(School of Information , Mathematics,Yangtze University,Jingzhou 434023,China) |
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| Abstract: | The bifurcation method of planar dynamical systems and decision method of integrability are employed to investigate a generalized Burgers-Huxley equation.First by using the new algorithm the singular point quantities are computed to get integrable conditions completely.Then all the singular points are studied and under different parameter conditions,the possible phase portraits and bifurcation cases can be given.Furthermore,the existence of all kinds of travelling wave solution and how to figure out the sol... |
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| Keywords: | generalized Burgers-Huxley equation solitary travelling wave solution periodic travelling wave solution the singular point quantities |
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