TY - JOUR
T1 - On the integrable discrete versions of the Leznov lattice
T2 - Determinant solutions and pfaffianization
AU - Yu, Guo Fu
AU - Tam, Hon Wah
AU - Hu, Xing Biao
N1 - Funding Information:
✩ This work was supported by the National Natural Science Foundation of China (Grant No. 10471139), CAS President Grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU2016/05P. * Corresponding author. E-mail address: [email protected] (G.-F. Yu).
PY - 2007/11/1
Y1 - 2007/11/1
N2 - In this paper, we present the Casorati form of the N-soliton solution for an integrable fully-discrete version and two integrable semi-discrete versions of the Leznov lattice, which arise from the integrable discretization of the two-dimensional Leznov lattice. By using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the semi-discrete version of the Leznov lattice in the y-direction.
AB - In this paper, we present the Casorati form of the N-soliton solution for an integrable fully-discrete version and two integrable semi-discrete versions of the Leznov lattice, which arise from the integrable discretization of the two-dimensional Leznov lattice. By using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the semi-discrete version of the Leznov lattice in the y-direction.
KW - Casorati solution
KW - Discrete Leznov lattice
KW - Pfaffianization
UR - http://www.scopus.com/inward/record.url?scp=34347229046&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2007.01.090
DO - 10.1016/j.jmaa.2007.01.090
M3 - Journal article
AN - SCOPUS:34347229046
SN - 0022-247X
VL - 335
SP - 377
EP - 388
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -