| 几类非线性方程的解析行波解 |
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| 引用本文： | 胡建兰,江玲芳.几类非线性方程的解析行波解[J].吉首大学学报(自然科学版),1996,17(3):41-45. |
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| 作者姓名： | 胡建兰 江玲芳 |
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| 作者单位： | [1]北京工业大学计算机学院数学教研室 [2]吉首民师 |
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| 摘 要： | 本文通过对描述人口动力学中生物群体竞争的Lotka－Volterra方程和一类化学反应扩散方程的分析，应用常微中贝努里（Bernoulli）方程的解析表示，得到了这两类方程的精确行波解，并应用此方法得到了Kolmogorov－Petrovskii－Piskunov方程，广义KdV－Bwrges方程的精确行波解，此方法还适用于广义Kuramoto－Sivaskinsky等方程。
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| 关 键 词： | Lotka－Volterra方程 化学反应扩散方程 行波解 |
Analytic Traveling Wave Solutions of Several Kinds of Nonlinear Equation |
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| Hu Jianlan.Analytic Traveling Wave Solutions of Several Kinds of Nonlinear Equation[J].Journal of Jishou University(Natural Science Edition),1996,17(3):41-45. |
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| Authors: | Hu Jianlan |
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| Abstract: | In this paper,by using the analytic expression of solutions to the well -known Bernoulliequation,the exact analytic traveling wave Solutions for two kinds of partial differential e-quations arising in population dynamics and chemical reaction are given explicity' Meanwhile,as examples of application of this methed,the explicit traveling wave solutions to the Kol-mogorov - Petrovskii - Piskunov equation, the generalized Kdv - Burges equation and thegeneralized Kuramoto-Sivaskinsky equation are obtained here. |
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| Keywords: | Lotka-Volterra Equation Chemical Reaction Equation Traveling Wave Solution |
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