TY - JOUR
T1 - Bilinear structure and determinant solution for the relativistic Lotka-Volterra equation
AU - Maruno, Ken ichi
AU - Oikawa, Masayuki
PY - 2000/5/29
Y1 - 2000/5/29
N2 - The relativistic Lotka-Volterra (RLV) lattice and the discrete-time relativistic Lotka-Volterra (dRLV) lattice are investigated by using the bilinear formalism. The bilinear equations for them are systematically constructed with the aid of the singularity confinement test. It is shown that the RLV lattice and dRLV lattice are decomposed into the Backlund transformations of the Toda lattice system. The N-soliton solutions are explicitly constructed in the form of the Casorati determinant. (C) 2000 Elsevier Science B.V.
AB - The relativistic Lotka-Volterra (RLV) lattice and the discrete-time relativistic Lotka-Volterra (dRLV) lattice are investigated by using the bilinear formalism. The bilinear equations for them are systematically constructed with the aid of the singularity confinement test. It is shown that the RLV lattice and dRLV lattice are decomposed into the Backlund transformations of the Toda lattice system. The N-soliton solutions are explicitly constructed in the form of the Casorati determinant. (C) 2000 Elsevier Science B.V.
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U2 - 10.1016/S0375-9601(00)00176-6
DO - 10.1016/S0375-9601(00)00176-6
M3 - Article
AN - SCOPUS:0034729059
SN - 0375-9601
VL - 270
SP - 122
EP - 131
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3-4
ER -