TY - JOUR
T1 - Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
AU - Hu, Xing Biao
AU - TAM, Hon Wah
N1 - Funding Information:
This work was partially supported by Hong Kong Baptist University grant FRG/99-00/II-66, the National Natural Science Foundation of China (Project no. 19871082), and the Chinese Academy of Sciences. Part of the work was done during one of the authors (XBH)'s stay in the Abdus Salam International Centre for Theoretical Physics and he would like to thank the AS ICTP for the hospitality.
PY - 2000/10/30
Y1 - 2000/10/30
N2 - We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.
AB - We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.
UR - http://www.scopus.com/inward/record.url?scp=0034735520&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(00)00650-2
DO - 10.1016/S0375-9601(00)00650-2
M3 - Article
AN - SCOPUS:0034735520
VL - 276
SP - 65
EP - 72
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 - 1-4
ER -