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

Babajanov, Bazar

doi:10.1007/978-3-030-01144-4_4

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Time Dependence Of B N1

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2023

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Cited by 1 publication

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“…In (48), the quantities K − (zk) and K + (zk) are determined from (44) and (45). On the other hand, taking into account formulas (30), (31), and the orthogonality relation of L(t), we deduce the following equality ( , ) ( , ) 2 ( ) ( ) 0,…”

Section: Time Dependence Of B Nmentioning

confidence: 99%

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

Babajanov,

Ruzmetov

2023

Contemp. Math.

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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.

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Section: Time Dependence Of B Nmentioning

confidence: 99%

“…An inverse scattering method was also developed to find solutions for the Toda lattice with self-consistent sources [36][37][38]. Integrability of the periodic Toda lattice and its hierarchy with a source has been shown in previous works [39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

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

Babajanov,

Ruzmetov

2023

Contemp. Math.

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

Cited by 1 publication

References 23 publications

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

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

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