caa a22 4500 467910774 CHVBK 20180406152848.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s11232-006-0112-7 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0112-7 Vereshchagin V. Institute for Mathematics and Computing Center, Ufa Scientific Center, RAS, Ufa, Russia aut Soliton solutions of an integrable boundary problem on the half-line for the discrete toda chain [Elektronische Daten] [V. Vereshchagin] We write formulas for soliton solutions of the discrete Toda chain and pose the integrable boundary value problem for this chain. We find conditions for the parameters (discrete spectrum points, transmission coefficients, and the corresponding factors) whereby solutions of the integrable boundary value problem are selected from all soliton solutions. As a result, we construct two hierarchies of soliton solutions of the specified problem with even and odd soliton numbers and find an explicit form of the conditions for the parameters. Springer Science+Business Media, Inc., 2006 discrete Toda chain nationallicence integrable boundary value problem nationallicence soliton nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/3(2006-09-01), 1199-1209 0040-5779 148:3<1199 2006 148 11232 https://doi.org/10.1007/s11232-006-0112-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0112-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Vereshchagin V. Institute for Mathematics and Computing Center, Ufa Scientific Center, RAS, Ufa, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/3(2006-09-01), 1199-1209 0040-5779 148:3<1199 2006 148 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer