Einstein's vacuum field equation: Painlevé analysis and Lie symmetries
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2019/02/01
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Indian UGC (journal)
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Refrences22
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Citations57
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Lakhveer Kaur Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
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Abdul-Majid Wazwaz Department of Mathematics, Saint Xavier University, Chicago, IL, USA ORCID (unauthenticated)
Cite
Kaur, Lakhveer, and Abdul-Majid Wazwaz. “Einstein’s Vacuum Field Equation: Painlevé Analysis and Lie Symmetries”. Waves in Random and Complex Media, vol. 31, no. 2, 2019, pp. 199-06, https://doi.org/10.1080/17455030.2019.1574410.
Kaur, L., & Wazwaz, A.-M. (2019). Einstein’s vacuum field equation: Painlevé analysis and Lie symmetries. Waves in Random and Complex Media, 31(2), 199-206. https://doi.org/10.1080/17455030.2019.1574410
Kaur, Lakhveer, and Abdul-Majid Wazwaz. “Einstein’s Vacuum Field Equation: Painlevé Analysis and Lie Symmetries”. Waves in Random and Complex Media 31, no. 2 (2019): 199-206. https://doi.org/10.1080/17455030.2019.1574410.
Kaur L, Wazwaz AM. Einstein’s vacuum field equation: Painlevé analysis and Lie symmetries. Waves in Random and Complex Media. 2019;31(2):199-206.
Journal Category
Science
Physics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Exact solutions of a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation using Lie symmetry analysis | Applied Mathematics and Computation |
| 17 | 2010 |
| Exact solutions of a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation using Lie symmetry analysis | Romanian Reports in Physics |
| 2018 | |
| Handbook of Lie group analysis of differential equations | 1994 | |||
| Group analysis of differential equations | 1982 | |||
The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative | Journal of Mathematical Physics |
| 444 | 1983 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| A fourth-order nonlinear equation studied by using a multivariate bilinear neural network method | Nonlinear Dynamics |
| 2024 | |
| Bell and Kink type, Weierstrass and Jacobi elliptic, multiwave, kinky breather, M-shaped and periodic-kink-cross rational solutions for Einstein’s vacuum field model | Optical and Quantum Electronics |
| 1 | 2024 |
| Examining the (1 + 1)-dimensional Schrödinger–Hirota equation with Kerr effect under inter-modal dispersion using the invariance theory | Optical and Quantum Electronics |
| 2024 | |
| Abundant invariant and classical solutions with the conservation laws of a new (3+1)-dimensional fifth-order nonlinear Wazwaz equation with the third-order dispersion terms in ocean physics | Chinese Journal of Physics |
| 3 | 2024 |
| Lie symmetries and conserved quantities of static Bertotti–Robinson spacetime | Chinese Journal of Physics |
| 2024 |
Citations Analysis
The category
Science: Physics 43
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions and was published in 2019. The most recent citation comes from a 2024 study titled A fourth-order nonlinear equation studied by using a multivariate bilinear neural network method. This article reached its peak citation in 2023, with 27 citations. It has been cited in 23 different journals, 26% of which are open access. Among related journals, the Results in Physics cited this research the most, with 14 citations. The chart below illustrates the annual citation trends for this article.