The KdV in cosmology: a useful tool or a distraction?

DOI10.1134/S0202289315020127zbMath1327.83307arXiv1405.6436OpenAlexW3105244062MaRDI QIDQ891505

Artyom V. Yurov, Anna V. Yaparova, Valerian A. Yurov

Publication date: 17 November 2015

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6436

zbMATH Keywords

cosmologyinflationary cosmologyKorteweg de Vries (KdV) equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) KdV equations (Korteweg-de Vries equations) (35Q53) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

• Application of the Abel equation of the 1st kind to inflation analysis of non-exactly solvable cosmological models
• Abel ODEs: Equivalence and integrable classes
• Comparative analysis of approximate and exact models in inflationary cosmology
• Darboux transformation for Dirac equations with \((1+1)\) potentials
• Friedman versus Abel equations: A connection unraveled
• Inflationary universe: A possible solution to the horizon and flatness problems
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