Solutions generating technique for Abel-type nonlinear ordinary differential equations

  • Mak M
  • Chan H
  • Harko T
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A second-order nonlinear differential equation describing the dynamics of a bulk viscous fluid filled general relativistic Friedmann-Robertson-Walker Universe is considered. By means of appropriate transformations, the evolution equation of the space-time is transformed into a third-order polynomial Abel differential equation. With the use of some particular solutions of this equation, repeated classes of exact solutions are generate. © 2001 Elsevier Science Ltd.

Author-supplied keywords

  • Abel equation
  • Nonlinear ordinary differential equation
  • Solutions generating method

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  • M. K. Mak

  • H. W. Chan

  • T. Harko

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