caa a22 4500 467910898 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s11232-006-0099-0 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0099-0 Lax representations for triplets of two-dimensional scalar fields of the chiral type [Elektronische Daten] [D. Demskoi, V. Marikhin, A. Meshkov] We consider two-dimensional relativistically invariant systems with a three-dimensional reducible configuration space and a chiral-type Lagrangian that admit higher symmetries given by polynomials in derivatives up to the fifth order. Nine such systems are known: two are Liouville-type systems, and zero-curvature representations for two others have previously been found. We here give zero-curvature representations for the remaining five systems. We show how infinite series of conservation laws can be derived from the established zero-curvature representations. We give the simplest higher symmetries; others can be constructed from the conserved densities using the Hamiltonian operator. We find scalar formulations of the spectral problems. Springer Science+Business Media, Inc., 2006 zero-curvature representations nationallicence higher symmetries nationallicence conservation laws nationallicence Demskoi D. Orel State University, Orel, Russia aut Marikhin V. Landau Institute for Theoretical Physics, RAS, Moscow, Russia aut Meshkov A. Orel State University, Orel, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1034-1048 0040-5779 148:2<1034 2006 148 11232 https://doi.org/10.1007/s11232-006-0099-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0099-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Demskoi D. Orel State University, Orel, Russia aut NATIONALLICENCE 700 1- Marikhin V. Landau Institute for Theoretical Physics, RAS, Moscow, Russia aut NATIONALLICENCE 700 1- Meshkov A. Orel State University, Orel, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1034-1048 0040-5779 148:2<1034 2006 148 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer