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

  • B. A. BabajanovEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 264)


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.


Toda-type chain Self-consistent source Inverse scattering method Discrete Sturm-Liouville operator One-soliton solution 



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


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Urgench State UniversiyUrgenchUzbekistan

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