Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (3): 263-269.

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SEVERAL CLASSES OF INTEGRABLE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS (I) FIRST-ORDER EQUATIONS

Li Hong-xiang1, Zdravko F. Stare2   

  1. 1. Shanghai Institute of Railway Technology, Shanghai;
    2. Zarka Zrenjanina 93, 26300 Vrsac, Yugoslavia
  • Received:1989-04-29 Online:1990-03-18 Published:1990-03-18

Abstract: In this paper we give some results of integrability and several classes of integrable equations of first-order nonlinear ordinary differential equations. Many known results of integrability and integrable equations are special cases of them. They may be applied in physics and mechanics, and to derive soliton equations and find soliton solutions.

Key words: Beavers-Joseph-Saffman condition, mass conservation, balance of force, coupled Stokes and Darcy problem

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