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INTEGRATION OF THE PERIODIC TODA-TYPE LATTICE WITH AN INTEGRAL SOURCE

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ARTICLE ANNOTATION

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In this paper the inverse spectral problem is applied to the integration of the periodic Toda-type Lattice with an integral source.

AUTHORS

B.Babajanov

URSU

D.Atajonov

URSU

SH.Azamatov

URSU

Tags

# Toda zanjiri# цепочка Тоды# Toda lattice# обратная спектральная задача# inverse spectral problem# discrete Hill Equation# an integral source# trace formulas# diskret Xill tenglamasi# integral manba# teskari spectral masala# izlar formulasi# дискретный оператор Хилла# интегральный источник# формулы следов

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References

Toda M. Waves in nonlinear lattice. - Suppl., Progress Thoer. Physics, 1970, 45, p. 174-200

Flaschka H. On the Toda lattice. Theor. Physics, 1974, 51, No. 3, p. 703- 716

Манаков С.В. О полной интегрируемости и стохастизации в дискретных динамических системах. - Журн. эксп. и теор. физики, 1974, 67, № 2, с. 543-555

Date E., Tanaka S. Analog of inverse scattering theory for discrete Hill`s equation and exact solutions for the periodic Toda lattice. - Progress Theor. Physics, 1976, 55, No. 2, p. 217-222

Teschl G. Jacobi Operators and Completely Integrable Lattices, Mathematical Surveys and Monographs, vol.72, AMS, 2000.