TY - JOUR
T1 - Casorati determinant solution for the discrete-time relativistic Toda lattice equation
AU - Maruno, Ken Ichi
AU - Kajiwara, Kenji
AU - Oikawa, Masayuki
N1 - Funding Information:
One of the authors (K.K.) was supported by a Grant-in-aid for Encouragement of Young Scientists, The Ministry of Education, Science, and Culture of Japan, No. 09740164.T his work is a part of the Joint Research Programs of the Research Institute for Applied Mechanics, Kyushu University.
PY - 1998/5/11
Y1 - 1998/5/11
N2 - The discrete-time relativistic Toda lattice (dRTL) equation is investigated by using the bilinear formalism. Bilinear equations are systematically constructed with the aid of the singularity confinement method. It is shown that the dRTL equation is decomposed into the Bäcklund transformations of the discrete-time Toda lattice equation. The N-soliton solution is explicitly constructed in the form of the Casorati determinant.
AB - The discrete-time relativistic Toda lattice (dRTL) equation is investigated by using the bilinear formalism. Bilinear equations are systematically constructed with the aid of the singularity confinement method. It is shown that the dRTL equation is decomposed into the Bäcklund transformations of the discrete-time Toda lattice equation. The N-soliton solution is explicitly constructed in the form of the Casorati determinant.
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U2 - 10.1016/S0375-9601(98)00150-9
DO - 10.1016/S0375-9601(98)00150-9
M3 - Article
AN - SCOPUS:0042416810
SN - 0375-9601
VL - 241
SP - 335
EP - 343
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 6
ER -