TY - JOUR
T1 - Some recent results on integrable Bilinear equations
AU - Hu, Xing-Biao
AU - Tam, Hon-Wah
N1 - Funding Information:
This work was supported by Hong Kong Baptist University grant FRG/97-98/II-100, the National Natural Science Foundation of China (Project no.19871082) and the Chinese Academy of Sciences. One of authors (XBH) would like to express his sincere thanks to the organizers M Bruschi, F Calogero, O Ragnisco and A Verganelakis for their invitation to attend the workshop NEEDS’99 and partial financial support.
PY - 2001/2
Y1 - 2001/2
N2 - This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.
AB - This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.
UR - http://www.scopus.com/inward/record.url?scp=0037765177&partnerID=8YFLogxK
U2 - 10.2991/jnmp.2001.8.s.26
DO - 10.2991/jnmp.2001.8.s.26
M3 - Journal article
AN - SCOPUS:0037765177
SN - 1402-9251
VL - 8
SP - 149
EP - 155
JO - Journal of Nonlinear Mathematical Physics
JF - Journal of Nonlinear Mathematical Physics
IS - SUPPL.
ER -