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This article is cited in 1 scientific paper (total in 1 paper)
On a class of quadratic conservation laws for Newton equations in Euclidean space
A. V. Tsiganov, E. O. Porubov St. Petersburg State University, St. Petersburg,
Russia
Abstract:
We discuss quadratic conservation laws for the Newton equations and the corresponding second-order Killing tensors in Euclidean space. In this case, the complete set of integrals of motion consists of polynomials of the second, fourth, sixth, and so on degrees in momenta, which can be constructed using the Lax matrix related to the hierarchy of the multicomponent nonlinear Schrödinger equation.
Keywords:
Killing tensors, integrable systems, symmetric spaces.
Received: 26.01.2023 Revised: 17.04.2023
Citation:
A. V. Tsiganov, E. O. Porubov, “On a class of quadratic conservation laws for Newton equations in Euclidean space”, TMF, 216:2 (2023), 350–382; Theoret. and Math. Phys., 216:2 (2023), 1209–1237
Linking options:
https://www.mathnet.ru/eng/tmf10447https://doi.org/10.4213/tmf10447 https://www.mathnet.ru/eng/tmf/v216/i2/p350
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Abstract page: | 168 | Full-text PDF : | 8 | Russian version HTML: | 61 | References: | 23 | First page: | 12 |
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