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INTEGRATION OF THE TODA-TYPE CHAIN WITH SELFCONSISTENT SOURCE VIA INVERSE SCATTERING METHOD

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MAQOLA ANNOTATSIYASI

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Аннотация. В этой работе метод обратной задачи теории рассеяния применяется к интегрированию уравнения типа цепочки Тоды с самосогласованным источником.

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Teglar

# Toda zanjiri# inverse scattering method# s. Toda chain# self-consistent source# discrete Sturm-Liuville operator# diskret Sturm-Liuvill operatori# moslangan manba# . Цепочка Тоды# дискретный оператор ШтурмаЛиувил# самосогласованный источник

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

Toda M.: One-dimensional dual transformation. J. Phys. Soc. Japan. 22, 431- 436 (1967)

2. Toda M.: Wave propagation in anharmonic lattice. J. Phys. Soc. Japan. 23, 501- 506 (1967)

Flaschka H. Toda lattice. I. Phys.Rev. B9, 1924-1925 (1974

Khanmamedov Ag. Kh.: The rapidly decreasing solution of the initial-boundary value problem for the Toda lattice. Ukrainskiy mathematiceskiy journal. 57, 1144 - 1152 (2005)

Mel‘nikov V. K.: A direct method for deriving a multisoliton solution for the problem of interaction of waves on the x,y plane Commun. Math. Phys. 112 639– 52, 1987

Mel‘nikov 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 Korteweg-de Vries equation with a source Inverse Problems 6 233–46, 1990.

Urazboev G. U.: Toda lattice with a special self-consistent source. Theoret. and Math. Phys. 154, 305-315 (2008)

ys. Rev. E 67 026609-1 26. Case K, Kac M.: A discrete version of the inverse scattering problem. J.Math.Phys. 14, 594-603 (1973)

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