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求解非线性发展方程精确行波解的待定辅助方程方法

DOI: 10.13484/j.nmgdxxbzk.20150202, PP. 120-126

Keywords: 辅助方程方法,精确行波解,burgers-huxiley方程

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Abstract:

为求解偏微分方程行波解,提出了一种待定辅助方程法.本方法中不必事先知道辅助方程的特定形式,从而克服了现行辅助方程方法中必须先知道辅助方程具体形式的要求.同时,方法的应用中一次就发现多种不同形式的辅助方程,从而能求解不同形式的行波解.这也给出了发现新的辅助方程的方法.

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