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

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

SN - 0375-9601

IS - 6

ER -