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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 3, Pages 371–381
(Mi tmf2345)
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This article is cited in 27 scientific papers (total in 27 papers)
Linear pseudopotentials and conservation laws for the Landau–Lifshits equation describing the nonlinear dynamics of a ferromagnet with uniaxial anisotropy
A. E. Borovik, V. N. Robuk
Abstract:
The methods of differential geometry are used to obtain a set of pseudopotential
representations of the Landau–Lifshits equation that describes the nonlinear dynamics of a uniaxial ferromagnet. It is shown that linear pseudopotentials of
a definite type are equivalent to a Lax representation. The direct scattering problem is investigated for some linear spectral problems associated with the Landau–Lifshits equation, and a polynomial series of conservation laws is found.
Received: 21.01.1980
Citation:
A. E. Borovik, V. N. Robuk, “Linear pseudopotentials and conservation laws for the Landau–Lifshits equation describing the nonlinear dynamics of a ferromagnet with uniaxial anisotropy”, TMF, 46:3 (1981), 371–381; Theoret. and Math. Phys., 46:3 (1981), 242–248
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https://www.mathnet.ru/eng/tmf2345 https://www.mathnet.ru/eng/tmf/v46/i3/p371
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Abstract page: | 396 | Full-text PDF : | 151 | References: | 32 | First page: | 1 |
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