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Defect and improvement of Two-Time Expansion method in nonlinear oscillations

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Abstract

In this paper, the defect of the Two-Time Expansion method is indicated and an improvement of this method is suggested. Certain examples in which the present method is used, are given. Moreover, the paper shows the equivalence of the improved Two-Time Expansion Method and the method of KBM (Krylov-Bogoliubov-Mitropolski).

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References

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Communicated by Chien Wei-zang

Finally, we Thank Prof. Xu Zhao for his help.

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Shui-li, C., Zhi-min, T. Defect and improvement of Two-Time Expansion method in nonlinear oscillations. Appl Math Mech 10, 915–924 (1989). https://doi.org/10.1007/BF02017517

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  • DOI: https://doi.org/10.1007/BF02017517

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