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This article is cited in 16 scientific papers (total in 16 papers)
Interpolating differential reductions of multidimensional integrable hierarchies
L. V. Bogdanov Landau Institute for Theoretical Physics, RAS,
Chernogolovka, Moscow Oblast, Russia
Abstract:
We apply the scheme for constructing differential reductions recently developed for the Manakov–Santini hierarchy to the general multidimensional case. We consider the four-dimensional case connected with the second heavenly equation and its generalization proposed by Dunajski in more detail. We characterize differential reductions in terms of the Lax–Sato equations and also in the framework of the dressing method based on the nonlinear Riemann–Hilbert problem.
Keywords:
multidimensional integrable hierarchy, differential reduction, Plebański equation.
Received: 23.06.2011
Citation:
L. V. Bogdanov, “Interpolating differential reductions of multidimensional integrable hierarchies”, TMF, 167:3 (2011), 354–363; Theoret. and Math. Phys., 167:3 (2011), 705–713
Linking options:
https://www.mathnet.ru/eng/tmf6646https://doi.org/10.4213/tmf6646 https://www.mathnet.ru/eng/tmf/v167/i3/p354
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Abstract page: | 472 | Full-text PDF : | 188 | References: | 59 | First page: | 6 |
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