TY - JOUR
T1 - Bilinear forms of integrable lattices related to Toda and Lotka-Volterra lattices
AU - Maruno, Ken Ichi
AU - Ma, Wen Xiu
N1 - Funding Information:
This work was supported by a JSPS Fellowship for Young Scientists and a grant from the Research Grants Council of Hong Kong Special Administrative Region, China (CERG 9040466).
PY - 2002
Y1 - 2002
N2 - Hirota's bilinear technique is applied to some integrable lattice systems related to the Bäcklund transformations of the 2DToda, Lotka-Volterra and relativistic Lotka- Volterra lattice systems, which include the modified Lotka-Volterra lattice system, the modified relativistic Lotka-Volterra lattice system, and the generalized Blaszak- Marciniak lattice systems. Determinant solutions are constructed through the resulting bilinear forms, especially for the modified relativistic Lotka-Volterra lattice system and a two-dimensional Blaszak-Marciniak lattice system.
AB - Hirota's bilinear technique is applied to some integrable lattice systems related to the Bäcklund transformations of the 2DToda, Lotka-Volterra and relativistic Lotka- Volterra lattice systems, which include the modified Lotka-Volterra lattice system, the modified relativistic Lotka-Volterra lattice system, and the generalized Blaszak- Marciniak lattice systems. Determinant solutions are constructed through the resulting bilinear forms, especially for the modified relativistic Lotka-Volterra lattice system and a two-dimensional Blaszak-Marciniak lattice system.
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U2 - 10.2991/jnmp.2002.9.s1.11
DO - 10.2991/jnmp.2002.9.s1.11
M3 - Article
AN - SCOPUS:33646128626
SN - 1402-9251
VL - 9
SP - 127
EP - 139
JO - Journal of Nonlinear Mathematical Physics
JF - Journal of Nonlinear Mathematical Physics
ER -