On the Integration of the Higher Order Toda Lattice with a Self-Consistent Integral Type Source

Authors

  • Bazar Babajanov Department of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench 220100, Uzbekistan
  • Murod Ruzmetov Department of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench 220100, Uzbekistan

DOI:

https://doi.org/10.37256/cm.4420232391

Keywords:

higher Toda lattice, self-consistent source, inverse scattering method, discrete Sturm-Liouville operator, one-soliton solution

Abstract

This work presents an algorithm that uses the inverse scattering method to find a solution for the higher-order Toda lattice with a self-consistent source. The higher-order Toda lattice with an integral-type source is also a significant theoretical model belonging to very integrable systems. The problem is solved by applying the direct and inverse scattering methods to the discrete Sturm-Liouville operator, and the time dependence of the scattering data for this operator is attained. The solution to the problem is set up using the inverse scattering transform (IST) approach.

Downloads

Published

2023-10-19

How to Cite

1.
Babajanov B, Ruzmetov M. On the Integration of the Higher Order Toda Lattice with a Self-Consistent Integral Type Source. Contemp. Math. [Internet]. 2023 Oct. 19 [cited 2024 Dec. 10];4(4):684-701. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2391