Volume 9, Issue Supplement 1, February 2002, Pages 127 - 139
Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices
Ken-ichi Maruno, Wen-Xiu Ma
Received 31 May 2001, Revised 17 August 2001, Accepted 26 September 2001, Available Online 1 February 2002.
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- 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.
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Cite this article
TY - JOUR AU - Ken-ichi Maruno AU - Wen-Xiu Ma PY - 2002 DA - 2002/02 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 - https://doi.org/10.2991/jnmp.2002.9.s1.11 ID - Maruno2002 ER -