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INTEGRATION OF THE SECOND TODA LATTICE VIA INVERSE SCATTERING METHOD

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MAQOLA ANNOTATSIYASI

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Mazkur maqola ikkinchi Toda zanjirini oʻrganishga bagʻishlangan.Ushbu maqolaning asosiy maqsadi chekli ayirmali Shturm-Liuvill operatori uchun qoʻyilgan sochilish nazariyasining teskari masalasi uslulidan foydalanib, ikkinchi Toda zanjirining yechimi uchun tasvir olishdan iborat.Ikkinchi Toda zanjiri yechimini topishning effektiv usuli keltiriladi.Olin-gan natijalar elektr uzatish liniyalarining maxsus turlarini modellashtirishda qoʻllanilishi mum-kin.

MUALLIFLAR

Teglar

# 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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Maqola idintifikatorlari

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

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Foydalanilgan adabiyotlar

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.

Manakov S. V. Complete integrability and stochastization of discrete dynamical systems, Zh. Eksper.Teoret.Fiz. 67 (1974), 543–555.