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
Cheviakov, A. F.; Dorodnitsyn, V. A.; Kaptsov, E. I. Invariant conservation law-preserving discretizations of linear and nonlinear wave equations. (English) Zbl 1454.65057 J. Math. Phys. 61, No. 8, 081504, 23 p. (2020). MSC: 65M06 65N06 65J08 37K10 37M15 17B81 74B20 PDFBibTeX XMLCite \textit{A. F. Cheviakov} et al., J. Math. Phys. 61, No. 8, 081504, 23 p. (2020; Zbl 1454.65057) Full Text: DOI arXiv
Chung, Jaywan; Kim, Yong-Jung; Kwon, Ohsang; Pan, Xingbin Discontinuous nonlinearity and finite time extinction. (English) Zbl 1431.35073 SIAM J. Math. Anal. 52, No. 1, 894-926 (2020). MSC: 35K57 35J60 35J65 35Q92 92D15 PDFBibTeX XMLCite \textit{J. Chung} et al., SIAM J. Math. Anal. 52, No. 1, 894--926 (2020; Zbl 1431.35073) Full Text: DOI
Geng, Xian-Guo; Wu, Li-Hua A super extension of Kaup-Newell hierarchy. (English) Zbl 1222.37052 Commun. Theor. Phys. 54, No. 4, 594-598 (2010). MSC: 37K05 37K10 PDFBibTeX XMLCite \textit{X.-G. Geng} and \textit{L.-H. Wu}, Commun. Theor. Phys. 54, No. 4, 594--598 (2010; Zbl 1222.37052) Full Text: DOI
Carl, Siegfried; Motreanu, Dumitru Sub-supersolution method for multi-valued elliptic and evolution problems. (English) Zbl 1387.35305 Gao, David Yang (ed.) et al., Handbook of nonconvex analysis and applications. Somerville, MA: International Press (ISBN 978-1-57146-200-8/hbk). 45-98 (2010). MSC: 35J87 34G25 35R70 47J20 47N20 PDFBibTeX XMLCite \textit{S. Carl} and \textit{D. Motreanu}, in: Handbook of nonconvex analysis and applications. Somerville, MA: International Press. 45--98 (2010; Zbl 1387.35305)
Vacaru, Sergiu I. The entropy of Lagrange-Finsler spaces and Ricci flows. (English) Zbl 1173.53029 Rep. Math. Phys. 63, No. 1, 95-110 (2009). Reviewer: Hideo Shimada (Sapporo) MSC: 53C44 53C21 53C25 83C15 83C99 83E99 53C60 PDFBibTeX XMLCite \textit{S. I. Vacaru}, Rep. Math. Phys. 63, No. 1, 95--110 (2009; Zbl 1173.53029) Full Text: DOI arXiv
Xiao, Yi-Bin; Huang, Nan-Jing Sub-super-solution method for a class of higher order evolution hemivariational inequalities. (English) Zbl 1162.49015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 558-570 (2009). MSC: 49J40 35K90 47J35 47J20 PDFBibTeX XMLCite \textit{Y.-B. Xiao} and \textit{N.-J. Huang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1--2, 558--570 (2009; Zbl 1162.49015) Full Text: DOI
Aizicovici, Sergiu; Reich, Simeon; Zaslavski, Alexander J. Continuous descent methods for the minimization of Lipschitz functions. (English) Zbl 1094.37043 Nonlinear Funct. Anal. Appl. 11, No. 1, 59-85 (2006). MSC: 37L65 47J35 49M99 54E35 54E50 54E52 90C25 PDFBibTeX XMLCite \textit{S. Aizicovici} et al., Nonlinear Funct. Anal. Appl. 11, No. 1, 59--85 (2006; Zbl 1094.37043)
Vasil’ev, Alexander Evolution of conformal maps with quasiconformal extensions. (English) Zbl 1086.30008 Bull. Sci. Math. 129, No. 10, 831-859 (2005). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30C35 22E65 30F60 76D27 17B65 35Q35 35F25 30D05 30C62 PDFBibTeX XMLCite \textit{A. Vasil'ev}, Bull. Sci. Math. 129, No. 10, 831--859 (2005; Zbl 1086.30008) Full Text: DOI arXiv
Gerdjikov, Vladimir S. Algebraic and analytic aspects of soliton type equations. (English) Zbl 1026.37059 Bona, Jerry (ed.) et al., The legacy of the inverse scattering transform in applied mathematics. Proceedings of an AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 17-21, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 301, 35-68 (2002). Reviewer: Tomasz Brzeziński (Swansea) MSC: 37K15 17B67 17B80 37K40 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, Contemp. Math. 301, 35--68 (2002; Zbl 1026.37059) Full Text: arXiv
Krasil’shchik, I. S. Cohomological approach to Poisson structures on nonlinear evolution equations. (English) Zbl 0938.35010 Lobachevskii J. Math. 3, 127-145 (1999). MSC: 35A30 16W55 37K05 58J10 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik}, Lobachevskii J. Math. 3, 127--145 (1999; Zbl 0938.35010) Full Text: EuDML EMIS
Gruver, J. L.; Plastino, A.; Proto, A. N. Exact dynamics for a class of nonlinear Hamiltonians and the classification of its associated Alhassid-Levine Lie algebras. (English) Zbl 0941.81023 Phys. Lett., A 246, No. 1-2, 61-65 (1998). MSC: 81Q05 17B81 81R05 PDFBibTeX XMLCite \textit{J. L. Gruver} et al., Phys. Lett., A 246, No. 1--2, 61--65 (1998; Zbl 0941.81023) Full Text: DOI
Rozanov, Yu. A. On piecewise linear approximation for nonlinear stochastic evolution. (English) Zbl 0928.60043 Theory Probab. Appl. 43, No. 1, 146-152 (1998) and Teor. Veroyatn. Primen. 43, No. 1, 192-196 (1998). Reviewer: T.Bojdecki (Warszawa) MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{Yu. A. Rozanov}, Theory Probab. Appl. 43, No. 1, 146--152 (1998) and Teor. Veroyatn. Primen. 43, No. 1, 192--196 (1998; Zbl 0928.60043) Full Text: DOI
Adams, M. R.; Bergvelt, M. J. The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras. (English) Zbl 0787.35085 Commun. Math. Phys. 154, No. 2, 265-305 (1993). Reviewer: E.D.Belokolos (Kiev) MSC: 35Q53 14H42 37J35 37K10 17B67 PDFBibTeX XMLCite \textit{M. R. Adams} and \textit{M. J. Bergvelt}, Commun. Math. Phys. 154, No. 2, 265--305 (1993; Zbl 0787.35085) Full Text: DOI
Ólafsson, Sverrir Loop algebras and their relation to the conformal structure of integrable systems. (English) Zbl 0691.17013 Lett. Math. Phys. 19, No. 1, 35-44 (1990). Reviewer: H.Yamada MSC: 17B67 37J35 37K10 81T08 17B70 PDFBibTeX XMLCite \textit{S. Ólafsson}, Lett. Math. Phys. 19, No. 1, 35--44 (1990; Zbl 0691.17013) Full Text: DOI
Marino, Antonio The calculus of variations and some semilinear variational inequalities of elliptic and parabolic type. (English) Zbl 0689.49011 Partial differential equations and the calculus of variations. Essays in Honor of Ennio De Giorgi, 787-822 (1989). Reviewer: A.Marino MSC: 49J40 35J65 49J52 35K60 58E05 PDFBibTeX XML
Ólafsson, Sverrir New nonlinear evolution equations related to some superloop algebras. (English) Zbl 0687.35085 J. Phys. A, Math. Gen. 22, No. 2, 157-167 (1989). MSC: 35Q99 17B70 35K55 35G10 35K25 PDFBibTeX XMLCite \textit{S. Ólafsson}, J. Phys. A, Math. Gen. 22, No. 2, 157--167 (1989; Zbl 0687.35085) Full Text: DOI
Samojlenko, V. Gr.; Fil’, B. N. Algebras of symmetries of completely integrable dynamical systems. (English. Russian original) Zbl 0666.58023 Ukr. Math. J. 40, No. 2, 164-168 (1988); translation from Ukr. Mat. Zh. 40, No. 2, 192-198 (1988). MSC: 37J35 37K10 17B65 35Q99 PDFBibTeX XMLCite \textit{V. Gr. Samojlenko} and \textit{B. N. Fil'}, Ukr. Math. J. 40, No. 2, 164--168 (1988; Zbl 0666.58023); translation from Ukr. Mat. Zh. 40, No. 2, 192--198 (1988) Full Text: DOI
Samojlenko, V. Gr.; Fil’, B. N. Algebras of symmetries of completely integrable dynamical systems. (Russian) Zbl 0654.58019 Ukr. Mat. Zh. 40, No. 2, 192-198 (1988). Reviewer: G.-Z.Tu MSC: 37J35 37K10 17B65 35Q99 PDFBibTeX XMLCite \textit{V. Gr. Samojlenko} and \textit{B. N. Fil'}, Ukr. Mat. Zh. 40, No. 2, 192--198 (1988; Zbl 0654.58019)
Yamada, Hirofumi Super Grassmann hierarchies – A multicomponent theory. (English) Zbl 0646.35075 Hiroshima Math. J. 17, 377-394 (1987). Reviewer: H.Yamada MSC: 35Q99 37J35 37K10 35G20 PDFBibTeX XMLCite \textit{H. Yamada}, Hiroshima Math. J. 17, 377--394 (1987; Zbl 0646.35075)
Li, Yishen; Cheng, Yi Symmetries and constants of motion for some nonlinear evolution equations. (English) Zbl 0736.35117 Topics in soliton theory and exactly solvable nonlinear equations, Proc. Conf. Nonlinear Evol. Equations, Solitons, Inverse Scattering Transform, Oberwolfach/Ger. 1986, 216-229 (1987). MSC: 35Q58 35Q53 35G10 35K25 17B70 58J70 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Cheng}, in: Symmetries and bi-Hamiltonian structures of 2+1 dimensional systems. . 216--229 (1987; Zbl 0736.35117)
Zhu, Guocheng; Li, Yishen A new set of symmetries for integrable equations, Lie algebras, nonisospectral evolution equations. IV. (Chinese. English summary) Zbl 0625.35005 J. China Univ. Sci. Technol. 16, 1-7 (1986). MSC: 35A30 35Q99 17B65 PDFBibTeX XMLCite \textit{G. Zhu} and \textit{Y. Li}, J. China Univ. Sci. Technol. 16, 1--7 (1986; Zbl 0625.35005)
Gürses, M.; Oǧuz, Ö. A super soliton connection. (English) Zbl 0608.35072 Lett. Math. Phys. 11, 235-246 (1986). Reviewer: P.Mahanti MSC: 35Q99 35G20 PDFBibTeX XMLCite \textit{M. Gürses} and \textit{Ö. Oǧuz}, Lett. Math. Phys. 11, 235--246 (1986; Zbl 0608.35072) Full Text: DOI
Drinfel’d, V. G.; Sokolov, V. V. Lie algebras and equations of Korteweg-de Vries type. (English) Zbl 0578.58040 J. Sov. Math. 30, 1975-2036 (1985). MSC: 37L05 35Q53 37K30 17B67 37K15 PDFBibTeX XMLCite \textit{V. G. Drinfel'd} and \textit{V. V. Sokolov}, J. Sov. Math. 30, 1975--2036 (1985; Zbl 0578.58040) Full Text: DOI
Drinfel’d, V. G.; Sokolov, V. V. Lie algebra and equations of Korteweg-de Vries type. (Russian) Zbl 0558.58027 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 24, 81-180 (1984). Reviewer: B. G. Konopelchenko (Novosibirsk) MSC: 37K30 17B67 17B80 37K15 35Q53 37K60 37K10 37L05 PDFBibTeX XML
Verdier, Jean-Louis Les représentations des algèbres de Lie affines: applications à quelques problèmes de physique (d’apres E. Date, M. Jimbo, M. Kashiwara, T. Miwa). (French) Zbl 0526.17009 Mathematique et physique, Semin. Ec. Norm. Super., Paris 1979-1982, Prog. Math. 37, 247-259 (1983). MSC: 17B65 35Q99 81T08 37J35 37K10 PDFBibTeX XML
Martínez Alonso, Luis A new infinite-dimensional Kirillov’s structure related with nonlinear evolution equations. (English) Zbl 0488.58012 Lett. Math. Phys. 5, 99-103 (1981). MSC: 53D50 58D25 17B65 37J35 37K10 22E60 PDFBibTeX XMLCite \textit{L. Martínez Alonso}, Lett. Math. Phys. 5, 99--103 (1981; Zbl 0488.58012) Full Text: DOI