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Integrating the Toda Lattice with Self-Consistent Source via Inverse Scattering Method

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Abstract

In this work, there is shown that the solutions of Toda lattice with self-consistent source can be found by the inverse scattering method for the discrete Sturm-Liuville operator. For the considered problem the one-soliton solution is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Urgench State University, Urgench, Uzbekistan

    Gayrat Urazboev

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  1. Gayrat Urazboev
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Correspondence to Gayrat Urazboev.

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Urazboev, G. Integrating the Toda Lattice with Self-Consistent Source via Inverse Scattering Method. Math Phys Anal Geom 15, 401–412 (2012). https://doi.org/10.1007/s11040-012-9117-7

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  • DOI: https://doi.org/10.1007/s11040-012-9117-7

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