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- W2519723723 abstract "The Szekeres system is a four-dimensional system of first-order ordinary differential equations with nonlinear but polynomial (quadratic) right-hand side. It can be derived as a special case of the Einstein equations, related to inhomogeneous and nonsymmetrical evolving spacetime. The paper shows how to solve it and find its three global independent first integrals via Darboux polynomials and Jacobi’s last multiplier method. Thus the Szekeres system is completely integrable. Its two-dimensional subsystem is also investigated: we present its solutions explicitly and discuss its behaviour at infinity." @default.
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- W2519723723 date "2021-01-01" @default.
- W2519723723 modified "2023-09-23" @default.
- W2519723723 title "On integrability of the Szekeres system. I" @default.
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- W2519723723 doi "https://doi.org/10.1080/14029251.2016.1237199" @default.
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