Solutions generating technique for Abel-type nonlinear ordinary differential equations

✍ Scribed by M.K. Mak; H.W. Chan; T. Harko

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 307 KB
• Volume: 41
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(01)00104-3

✦ Synopsis

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 generated. (~) 2001 Elsevier Science Ltd. All rights reserved.