Gerdjikov, V. S.; Grahovski, G. G.; Stefanov, A. A. Real Hamiltonian forms of affine Toda field theories: spectral aspects. (English. Russian original) Zbl 1516.37079 Theor. Math. Phys. 212, No. 2, 1053-1072 (2022); translation from Teor. Mat. Fiz. 212, No. 2, 190-212 (2022). MSC: 37K10 37K30 35Q15 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 212, No. 2, 1053--1072 (2022; Zbl 1516.37079); translation from Teor. Mat. Fiz. 212, No. 2, 190--212 (2022) Full Text: DOI arXiv
Gerdjikov, Vladimir S. Nonlinear evolution equations related to Kac-Moody algebras \(A_r^{(1)}\): spectral aspects. (English) Zbl 1500.35258 Turk. J. Math. 46, No. 5, SI-2, 1828-1844 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35Q15 35Q53 35B40 37K35 35K15 17B67 17B81 81R10 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, Turk. J. Math. 46, No. 5, 1828--1844 (2022; Zbl 1500.35258) Full Text: DOI
Gerdjikov, Vladimir Stefanov On mKdV equations related to Kac-Moody algebras \(A_5^{(1)}\) and \(A_5^{(2)}\). (English) Zbl 1488.35482 Ufim. Mat. Zh. 13, No. 2, 121-140 (2021) and Ufa Math. J. 13, No. 2, 115-134 (2021). MSC: 35Q53 17B67 35P25 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, Ufim. Mat. Zh. 13, No. 2, 121--140 (2021; Zbl 1488.35482) Full Text: DOI arXiv MNR
Gerdjikov, V. S.; Mladenov, D. M.; Stefanov, A. A.; Varbev, S. K. The mKdV-type equations related to \(A_5^{(1)}\) and \(A_5^{(2)}\) Kac-Moody algebras. (English. Russian original) Zbl 1510.37104 Theor. Math. Phys. 207, No. 2, 604-625 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 237-260 (2021). MSC: 37K10 37K30 35Q53 17B67 17B80 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 207, No. 2, 604--625 (2021; Zbl 1510.37104); translation from Teor. Mat. Fiz. 207, No. 2, 237--260 (2021) Full Text: DOI
Gerdjikov, V. S.; Stefanov, A. A.; Iliev, I. D.; Boyadjiev, G. P.; Smirnov, A. O.; Matveev, V. B.; Pavlov, M. V. Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\). (English. Russian original) Zbl 1456.37072 Theor. Math. Phys. 204, No. 3, 1110-1129 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 332-354 (2020). MSC: 37K10 37K20 35Q53 17B67 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 204, No. 3, 1110--1129 (2020; Zbl 1456.37072); translation from Teor. Mat. Fiz. 204, No. 3, 332--354 (2020) Full Text: DOI arXiv
Gerdjikov, V. S.; Mladenov, D. M.; Stefanov, A. A.; Varbev, S. K. mKdV-type of equations related to \(B_2^{(1)}\) and \(A_4^{(2)}\). (English) Zbl 1338.35392 Aneva, Boyka (ed.) et al., Nonlinear mathematical physics and natural hazards. Selected papers from the international school and workshop held in Sofia, Bulgaria, 28 November – 02 December, 2013. Cham: Springer (ISBN 978-3-319-14327-9/hbk; 978-3-319-14328-6/ebook). Springer Proceedings in Physics 163, 59-69 (2015). MSC: 35Q53 37K30 35C08 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., Springer Proc. Phys. 163, 59--69 (2015; Zbl 1338.35392) Full Text: DOI
Carbone, Lisa; Murray, Scott H.; Sati, Hisham Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories. (English) Zbl 1326.81144 J. Math. Phys. 56, No. 10, 103501, 26 p. (2015). Reviewer: Akira Asada (Takarazuka) MSC: 81T30 83E50 81T60 22E46 83E15 35C08 PDFBibTeX XMLCite \textit{L. Carbone} et al., J. Math. Phys. 56, No. 10, 103501, 26 p. (2015; Zbl 1326.81144) Full Text: DOI arXiv
Gerdjikov, V. S.; Mladenov, D. M.; Stefanov, A. A.; Varbev, S. K. Integrable equations and recursion operators related to the affine Lie algebras \(A_r^{(1)}\). (English) Zbl 1317.35218 J. Math. Phys. 56, No. 5, 052702, 18 p. (2015). MSC: 35Q51 37K10 37K15 17B67 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., J. Math. Phys. 56, No. 5, 052702, 18 p. (2015; Zbl 1317.35218) Full Text: DOI arXiv
Constantinescu, Radu; Costanzino, Nick; Mazzucato, Anna L.; Nistor, Victor Approximate solutions to second order parabolic equations. I: Analytic estimates. (English) Zbl 1314.35063 J. Math. Phys. 51, No. 10, 103502, 26 p. (2010). MSC: 35K10 35J08 47A20 41A58 15A16 46E39 35B45 PDFBibTeX XMLCite \textit{R. Constantinescu} et al., J. Math. Phys. 51, No. 10, 103502, 26 p. (2010; Zbl 1314.35063) Full Text: DOI arXiv
de Groot, Mark F.; Hollowood, Timothy J.; Miramontes, J. Luis Generalized Drinfel’d-Sokolov hierarchies. (English) Zbl 0749.35044 Commun. Math. Phys. 145, No. 1, 57-84 (1992). Reviewer: W.Kleinert (Berlin) MSC: 35Q53 17B67 37J35 37K10 17B81 PDFBibTeX XMLCite \textit{M. F. de Groot} et al., Commun. Math. Phys. 145, No. 1, 57--84 (1992; Zbl 0749.35044) Full Text: DOI