Casorati determinant solution for the relativistic Toda lattice equation

Yasuhiro Ohta, Kenji Kajiwara, Junta Matsukidaira, Junkichi Satsuma

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)


The relativistic Toda lattice equation is decomposed into three Toda systems, the Toda lattice itself, Bäcklund transformation of Toda lattice, and discrete time Toda lattice. It is shown that the solutions of the equation are given in terms of the Casorati determinant. By using the Casoratian technique, the bilinear equations of Toda systems are reduced to the Laplace expansion form for determinants. The N-soliton solution is explicitly constructed in the form of the Casorati determinant.

Original languageEnglish
Pages (from-to)5190-5204
Number of pages15
JournalJournal of Mathematical Physics
Issue number11
Publication statusPublished - 1993
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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