caa a22 4500 46795061X CHVBK 20180405193741.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/PL00022149 doi (NATIONALLICENCE)springer-10.1007/PL00022149 (NATIONALLICENCE)springer-10.1007/s11232-005-0072-3 Skrypnyk T. Bogoliubov Institute for Theoretical Physics, Institute of Mathematics, Kiev, Ukraine aut Quasigraded lie algebras, kostant—adler scheme, and integrable hierarchies [Elektronische Daten] [T. Skrypnyk] Using special "anisotropic” quasigraded Lie algebras, we obtain a number of new hierarchies of integrable nonlinear equations in partial derivatives admitting zero-curvature representations. Among them are an anisotropic deformation of the Heisenberg magnet hierarchy, a matrix and vector generalization of the Landau—Lifshitz hierarchies, new types of matrix and vector anisotropic chiral-field hierarchies, and other types of "anisotropic” hierarchies. Springer Science+Business Media, Inc., 2005 hierarchies of integrable models nationallicence infinite algebras nationallicence Kostant—Adler scheme nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 275-288 0040-5779 142:2<275 2005 142 11232 https://doi.org/10.1007/PL00022149 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00022149 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Skrypnyk T. Bogoliubov Institute for Theoretical Physics, Institute of Mathematics, Kiev, Ukraine aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 275-288 0040-5779 142:2<275 2005 142 11232 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0072-3 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer