A Note on Delta-Perturbation Expansion Method
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摘要: 研究了最近发展起来的一种新的δ-摄动方法。在这种方法里把非线性项转化为含人工参数δ的形式(如u3转化为v),然后把人工参数作为摄动参数。指出了这种方法有好多优点,但也有很多局限性。该文认为何吉欢提出的线化摄动方法可以很好地克服其存在的局限性。Abstract: The Delta-perturbation expansion method,a kind of new perturbation technique depending upon an artificial parameter Delta was studied.The study reveals that the method exits some advantages,but also exits some limitations.To overcome the limitations,the so-called linearized perturbation method proposed by HE Ji-huan can be powerfully applied.
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Key words:
- perturbation method /
- artificial parameter /
- nonlinear equation /
- homotopy
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