Article

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

Bazar BabajanovDepartment of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench 220100, UzbekistanMurod RuzmetovDepartment of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench 220100, Uzbekistan

Contemporary Mathematicsjournal2023en

ABI

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.

Topics

Nonlinear Photonic Systems Nonlinear Waves and Solitons Quantum Mechanics and Non-Hermitian Physics

Identifiers

DOI: 10.37256/cm.4420232391

Citations and references

Cited by 045 references

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