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Integration of the Toda-Type Chain with a Special Self-consistent Source

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Algebra, Complex Analysis, and Pluripotential Theory (USUZCAMP 2017)

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Abstract

In this paper, it is shown that the solutions of the Toda-type chain with a special self-consistent source can be found by the inverse scattering method for the discrete Sturm–Liuville operator with moving eigenvalues.

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Acknowledgements

This work was supported by the International Erasmus+ Program KA106-2, Keele University, UK.

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Authors and Affiliations

  1. Urgench State Universiy, Urgench, Uzbekistan

    B. A. Babajanov

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  1. B. A. Babajanov
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Correspondence to B. A. Babajanov .

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Editors and Affiliations

  1. Department of Mathematics, California State University, Fullerton, CA, USA

    Zair Ibragimov

  2. Department of Mathematics, Indiana University, Bloomington, IN, USA

    Norman Levenberg

  3. Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

    Utkir Rozikov

  4. Department of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

    Azimbay Sadullaev

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Babajanov, B.A. (2018). Integration of the Toda-Type Chain with a Special Self-consistent Source. In: Ibragimov, Z., Levenberg, N., Rozikov, U., Sadullaev, A. (eds) Algebra, Complex Analysis, and Pluripotential Theory. USUZCAMP 2017. Springer Proceedings in Mathematics & Statistics, vol 264. Springer, Cham. https://doi.org/10.1007/978-3-030-01144-4_4

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