Volume 9, Issue Supplement 1, February 2002, Pages 127 - 139
Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices
Authors
Ken-ichi Maruno, Wen-Xiu Ma
Corresponding Author
Ken-ichi Maruno
Received 31 May 2001, Revised 17 August 2001, Accepted 26 September 2001, Available Online 1 February 2002.
- DOI
- 10.2991/jnmp.2002.9.s1.11How to use a DOI?
- Abstract
Hirota's bilinear technique is applied to some integrable lattice systems related to the Bäcklund transformations of the 2DToda, Lotka-Volterra and relativistic LotkVolterra lattice systems, which include the modified Lotka-Volterra lattice system, the modified relativistic Lotka-Volterra lattice system, and the generalized BlaszaMarciniak lattice systems. Determinant solutions are constructed through the resuling bilinear forms, especially for the modified relativistic Lotka-Volterra lattice system and a two-dimensional Blaszak-Marciniak lattice system.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Ken-ichi Maruno AU - Wen-Xiu Ma PY - 2002 DA - 2002/02/01 TI - Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices JO - Journal of Nonlinear Mathematical Physics SP - 127 EP - 139 VL - 9 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.s1.11 DO - 10.2991/jnmp.2002.9.s1.11 ID - Maruno2002 ER -