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Asosiy til:O'zbek

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.

MUALIFLAR

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

Maqolani baholang

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

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

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.

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