| 变系数辅助方程法与Fitzhugh-Nagumo方程行波解 |
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| 引用本文： | 陈自高,梁芳.变系数辅助方程法与Fitzhugh-Nagumo方程行波解[J].周口师范学院学报,2011,28(2). |
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| 作者姓名： | 陈自高 梁芳 |
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| 作者单位： | 华北水利水电学院数学与信息科学学院,河南郑州,450011 |
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| 摘 要： | 提出了寻找非线性发展方程精确行波解的新的辅助方程法,作为实例通过选取变系数Bernoulli方程作为辅助常微分方程,借助于它并根据齐次平衡原则,求解了Fitzhugh-Nagumo方程,并得到了该方程的精确行波解.所用方法可应用到其他类似方程的求解.
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| 关 键 词： | 变系数辅助方程法 齐次平衡原则 Fitzhugh-Nagumo方程 行波解 |
Variable coefficient auxiliary equation method and traveling wave solutions to Fitzhugh-Nagumo equation |
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| CHEN Zigao,LIANG Fang.Variable coefficient auxiliary equation method and traveling wave solutions to Fitzhugh-Nagumo equation[J].Journal of Zhoukou Normal University,2011,28(2). |
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| Authors: | CHEN Zigao LIANG Fang |
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| Institution: | CHEN Zigao,LIANG Fang (Department of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China) |
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| Abstract: | A new auxiliary equation method for finding exact traveling wave solutions to nonlinear evolution equations is proposed.As an example the Bernoulli equation with variable coefficients is chosen as auxiliary ordinary differential equation, with the help of which and according to homogeneous balance principle,the Fitzhugh-Nagumo equation has been solved,the exact traveling wave solutions have been obtained.The method used here could be applied to solve other similar equations. |
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| Keywords: | variable coefficient auxiliary equation method homogeneous balance principle Fitzhugh-Nagumo Equation traveling wave solution |
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