The modified two-dimensional Toda lattice with self-consistent sources
Gegenhasi
Advances in Difference Equations · 2017
doi:10.1186/s13662-017-1347-3 (opens in a new tab)
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Abstract
Abstract In this paper, we derive the Grammian determinant solutions to the modified two-dimensional Toda lattice, and then we construct the modified two-dimensional Toda lattice with self-consistent sources via the source generation procedure. We show the integrability of the modified two-dimensional Toda lattice with self-consistent sources by presenting its Casoratian and Grammian structure of the N-soliton solution. It is also demonstrated that the commutativity between the source generation procedure and Bäcklund transformation is valid for the two-dimensional Toda lattice.
Abstract licence: CC BY
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