August  2010, 27(3): 1233-1239. doi: 10.3934/dcds.2010.27.1233

On the spatial asymptotics of solutions of the Toda lattice

1. 

Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien

Received  June 2009 Revised  January 2010 Published  March 2010

We investigate the spatial asymptotics of decaying solutions of the Toda hierarchy and show that the asymptotic behaviour is preserved by the time evolution. In particular, we show that the leading asymptotic term is time independent. Moreover, we establish infinite propagation speed for the Toda lattice.
Citation: Gerald Teschl. On the spatial asymptotics of solutions of the Toda lattice. Discrete & Continuous Dynamical Systems - A, 2010, 27 (3) : 1233-1239. doi: 10.3934/dcds.2010.27.1233
[1]

Agnaldo José Ferrari, Tatiana Miguel Rodrigues de Souza. Rotated $ A_n $-lattice codes of full diversity. Advances in Mathematics of Communications, 2020  doi: 10.3934/amc.2020118

[2]

Serena Dipierro, Benedetta Pellacci, Enrico Valdinoci, Gianmaria Verzini. Time-fractional equations with reaction terms: Fundamental solutions and asymptotics. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 257-275. doi: 10.3934/dcds.2020137

2019 Impact Factor: 1.338

Metrics

  • PDF downloads (63)
  • HTML views (0)
  • Cited by (5)

Other articles
by authors

[Back to Top]