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INTEGRATION OF THE SECOND TODA LATTICE VIA INVERSE SCATTERING METHOD

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Ilm sarchashmalari

Ilm sarchashmalari

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In this paper, we explore the second Toda lattice. The purpose of this paper is to derive representations for the solutions of the second Toda lattice in the framework of the inverse scattering method for the discrete Sturm-Liuville operator. An effective method of inte-gration of the second Toda lattice is presented. The results can be used in modeling special types of electric transmission lines.

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# xos qiymat# xos funksiya# Toda zanjiri# sochilish nazariyasining teskari# собственное значение# собственная функция# цепочка Тоды# об-ратная задача теории рассеяни# peculiar value# peculiar function# Toda lattice# inverse scattering method

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https://eroi.uz/11.0021/A1019-0381

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References

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Cabada A., Urazboev G.U. Integration of the Toda lattice with an integral-type source, Inverse Problems 26 (2010), 085004 (12pp). Cabada A., Urazboev G.U. Integration of the Toda lattice with an integral-type source, Inverse Problems 26 (2010), 085004 (12pp).

Case K., Kac M.A discrete version of the inverse scattering problem.J.Math.Phys. 14,594–603 (1973).

Shchesnovich V S and Doktorov E V 1996 Modified Manakov system with self-consistent source Phys. Lett.A 213 23–31.

Melnikov V. K. Integration method of the Korteweg-de Vries equation with a self-consistent source Phys.Lett.A 133 493–6, 1988

Mel’nikov V. K. Integration of the nonlinear Schrodinger equation with a self-consistent source. Commun.Math. Phys. 137 359–81, 1991.