Kruglikov, Boris; Steneker, Wijnand Killing tensors in Koutras-McIntosh spacetimes. (English) Zbl 1516.83015 Classical Quantum Gravity 39, No. 22, Article ID 225005, 16 p. (2022). MSC: 83C40 83D05 83C10 53C22 35N05 PDFBibTeX XMLCite \textit{B. Kruglikov} and \textit{W. Steneker}, Classical Quantum Gravity 39, No. 22, Article ID 225005, 16 p. (2022; Zbl 1516.83015) Full Text: DOI arXiv
Kruglikov, Boris Generalized Lie-Bäcklund theorem for Lie class overdetermined systems. (English) Zbl 1408.58028 Monatsh. Math. 171, No. 3-4, 395-414 (2013). MSC: 58J72 58J70 49J15 58A30 PDFBibTeX XMLCite \textit{B. Kruglikov}, Monatsh. Math. 171, No. 3--4, 395--414 (2013; Zbl 1408.58028) Full Text: DOI arXiv
Kruglikov, Boris Symmetry, compatibility and exact solutions of PDEs. (English) Zbl 1277.35267 Acta Appl. Math. 120, No. 1, 219-236 (2012). MSC: 35N10 58J70 35A30 PDFBibTeX XMLCite \textit{B. Kruglikov}, Acta Appl. Math. 120, No. 1, 219--236 (2012; Zbl 1277.35267) Full Text: DOI arXiv
Kruglikov, Boris The gap phenomenon in the dimension study of finite type systems. (English) Zbl 1364.53018 Cent. Eur. J. Math. 10, No. 5, 1605-1618 (2012). MSC: 53A55 37J15 53B99 58J70 PDFBibTeX XMLCite \textit{B. Kruglikov}, Cent. Eur. J. Math. 10, No. 5, 1605--1618 (2012; Zbl 1364.53018) Full Text: DOI arXiv
Kruglikov, Boris Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method. (English) Zbl 1153.35365 Acta Appl. Math. 101, No. 1-3, 145-161 (2008). MSC: 35N10 58A20 35A30 58J70 PDFBibTeX XMLCite \textit{B. Kruglikov}, Acta Appl. Math. 101, No. 1--3, 145--161 (2008; Zbl 1153.35365) Full Text: DOI arXiv
Kruglikov, Boris Invariant characterization of Liouville metrics and polynomial integrals. (English) Zbl 1145.53067 J. Geom. Phys. 58, No. 8, 979-995 (2008). MSC: 53D25 53B20 37J15 53A55 70H06 PDFBibTeX XMLCite \textit{B. Kruglikov}, J. Geom. Phys. 58, No. 8, 979--995 (2008; Zbl 1145.53067) Full Text: DOI arXiv
Kruglikov, Boris Anomaly of linearization and auxiliary integrals. (English) Zbl 1158.35308 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 108-115 (2008). Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy) MSC: 35A30 58J70 58J72 PDFBibTeX XMLCite \textit{B. Kruglikov}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 108--115 (2008; Zbl 1158.35308) Full Text: arXiv
Kruglikov, Boris; Lychagin, Valentin Dimension of the solutions space of PDEs. (English) Zbl 1200.35194 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 5-25 (2006). Reviewer: Ubiratan D’Ambrosio (São Paulo) MSC: 35N10 58A20 58H10 35A30 13C14 PDFBibTeX XMLCite \textit{B. Kruglikov} and \textit{V. Lychagin}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 5--25 (2006; Zbl 1200.35194) Full Text: arXiv Link
Kruglikov, Boris; Lychagin, Valentin Mayer brackets and solvability of PDEs. II. (English) Zbl 1093.35053 Trans. Am. Math. Soc. 358, No. 3, 1077-1103 (2006). Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy) MSC: 35N10 58A20 58H10 35A30 PDFBibTeX XMLCite \textit{B. Kruglikov} and \textit{V. Lychagin}, Trans. Am. Math. Soc. 358, No. 3, 1077--1103 (2006; Zbl 1093.35053) Full Text: DOI
Kruglikov, Boris; Lychagina, Olga Finite dimensional dynamics for Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 1116.35064 Lobachevskii J. Math. 19, 13-28 (2005). Reviewer: Christian Pötzsche (München) MSC: 35K57 35K55 37L20 37L05 35B42 35B41 PDFBibTeX XMLCite \textit{B. Kruglikov} and \textit{O. Lychagina}, Lobachevskii J. Math. 19, 13--28 (2005; Zbl 1116.35064) Full Text: EuDML EMIS
Kruglikov, Boris; Lychagin, Valentin A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. (English) Zbl 1121.58004 Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 39-53 (2004). Reviewer: Andrew Bucki (Edmond) MSC: 58A20 58H10 35N10 35A30 PDFBibTeX XMLCite \textit{B. Kruglikov} and \textit{V. Lychagin}, AIP Conf. Proc. 729, 39--53 (2004; Zbl 1121.58004)