Bäcklund Transformation of the Two-Dimensional Toda Lattice and Casorati’s Determinants

Fukuko Yuasa

doi:10.1143/JPSJ.56.423

Abstract

By means of the Bäcklund transformation, it is shown that the Casorati determinant form of N-soliton solution of the two-dimensional Toda lattice generates (N+1)-soliton solution successively for increasing N.

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Proceedings of the Physico-Mathematical Society of Japan. 3rd Series

Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series

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