Solutions generating technique for Abel-type nonlinear ordinary differential equations

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Abstract

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.

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Mak, M. K., Chan, H. W., & Harko, T. (2001). Solutions generating technique for Abel-type nonlinear ordinary differential equations. Computers and Mathematics with Applications, 41(10–11), 1395–1401. https://doi.org/10.1016/S0898-1221(01)00104-3

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