TY - JOUR
T1 - A Bäcklund transformation between two integrable discrete hungry systems
AU - Fukuda, Akiko
AU - Yamamoto, Yusaku
AU - Iwasaki, Masashi
AU - Ishiwata, Emiko
AU - Nakamura, Yoshimasa
N1 - Funding Information:
The authors thank the reviewers for their carefully reading and helpful suggestions. This work is partially supported by Grants-in-Aid for Young Scientist (B) No. 20740064 , and Scientific Research (A) No. 20246027 of Japan Society for the Promotion of Science (JSPS) .
PY - 2011/1/17
Y1 - 2011/1/17
N2 - The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhLV system, we present a Bäcklund transformation between these integrable systems.
AB - The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhLV system, we present a Bäcklund transformation between these integrable systems.
KW - Bäcklund transformation
KW - Discrete hungry Lotka-Volterra system
KW - Discrete hungry Toda equation
KW - LR transformation
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U2 - 10.1016/j.physleta.2010.11.029
DO - 10.1016/j.physleta.2010.11.029
M3 - Article
AN - SCOPUS:78650881842
VL - 375
SP - 303
EP - 308
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 3
ER -