| Fisher方程的一类解析解 |
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| 引用本文： | 张解放.Fisher方程的一类解析解[J].怀化学院学报,1994(6). |
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| 作者姓名： | 张解放 |
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| 作者单位： | 浙江师范大学物理系!金华321004 |
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| 摘 要： | 本文首先给出含非线性项,扩散项和反应项的Fisher方程的行波解在其Poincare相平面上的定性分析,然后用变量变换和积分方法,找到了Fisher方程三种解析行波解.鞍-结型冲击波解对应于鞍-结型异宿轨线;鞍-焦型冲击波解相应鞍-焦型异宿轨线;鞍-中心型孤立波解相应了鞍-中心型的同宿轨线.
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ONE CLASS OF THE ANALYTICAL SOLUTIONS OFFISHER EQUATION |
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| Abstract: | In this paper, we first give the qualitative analyses of the progressive waves of the Fisher's equation with nonlinear term, diffusive term and reaction term on its Poincare's phase plane. And then find one class of the analytical solutions of the Fisher equation by using variable transformations and analitical integration. Saddle - focus type shock waves solution is corresponding to heteroclinic orbit; saddle-node type shock waves solution is corresponding to heteroclinic orbit too; saddle-centre type soliton solution is corresponding to homoclinic orbit. |
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