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Integrable types of nonlinear ordinary differential equation sets of higher orders

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Abstract

Because of the extensive applications of nonlinear ordinary differential equation in physics, mechanics and cybernetics, there have been many papers on the exact solution to differential equation in some major publications both at home and abroad in recent years. Based on these papers and in virtue of Leibniz formula, and transformation set technique, this paper puts forth the solution to nonlinear ordinary differential equation set of higher-orders, moveover, its integrability is proven. The results obtained are the generalization of those in the references.

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Authors and Affiliations

  1. Mathematics Department, Jianghan University, 430010, Wuhan, P.R. China

    Tang Guangsong

  2. Mathematical Department, Shanxi Teachers University, 041004, Linfen, P. R. China

    Yuan Cunde

Authors
  1. Tang Guangsong
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  2. Yuan Cunde
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Communicated by Li Li

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Guangsong, T., Cunde, Y. Integrable types of nonlinear ordinary differential equation sets of higher orders. Appl Math Mech 16, 883–890 (1995). https://doi.org/10.1007/BF02458613

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  • DOI: https://doi.org/10.1007/BF02458613

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