Geodesic
Symmetries and conservation laws for a~two-component discrete potentiated Korteweg--de~Vries equation
Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 109-121

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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
Mots-clés : Lax pair. 
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     title = {Symmetries and conservation laws for a~two-component discrete potentiated {Korteweg--de~Vries} equation},
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M. N. Poptsova; I. T. Habibullin. Symmetries and conservation laws for a~two-component discrete potentiated Korteweg--de~Vries equation. Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 109-121. http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a9/