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Casorati Determinant Solution for the Relativistic Toda Lattice Equation
The relativistic Toda lattice equation is decomposed into three Toda systems,
the Toda lattice itself, B\"acklund transformation of Toda lattice and discrete
time Toda lattice. It is shown that the solutions of the equation are given in
terms of the Casorati determinant. By using the Casoratian technique, the
bilinear equations of Toda systems are reduced to the Laplace expansion form
for determinants. The -soliton solution is explicitly constructed in the
form of the Casorati determinant.Comment: 19 pages in plain Te
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