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This article is cited in 1 scientific paper (total in 1 paper)
Symmetries and conservation laws for a two-component discrete potentiated Korteweg–de Vries equation
M. N. Poptsova, I. T. Habibullin Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
Abstract:
In the work we discuss briefly a method for constructing a formal asymptotic solution to a system of linear difference equations in the vicinity of a special value of the parameter. In the case when the system is the Lax pair for some nonlinear equation on a square graph, the found formal asymptotic solution allows us to describe the conservation laws and higher symmetries for this nonlinear equation. In the work we give a complete description of a series of conservation laws and the higher symmetries hierarchy for a discrete potentiated two-component Korteweg–de Vries equation.
Keywords:
integrable dynamical systems, equation on square graph, symmetries, conservation laws, Lax pair.
Received: 22.01.2016
Citation:
M. N. Poptsova, I. T. Habibullin, “Symmetries and conservation laws for a two-component discrete potentiated Korteweg–de Vries equation”, Ufa Math. J., 8:3 (2016), 109–121
Linking options:
https://www.mathnet.ru/eng/ufa329https://doi.org/10.13108/2016-8-3-109 https://www.mathnet.ru/eng/ufa/v8/i3/p113
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Abstract page: | 341 | Russian version PDF: | 128 | English version PDF: | 15 | References: | 41 |
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