Article
Ufa Mathematical Journal
Volume 8, Number 3, pp. 109-121
Symmetries and conservation laws for a two-component discrete potentiated Korteweg-de~Vries equation
Habibullin I.T., Poptsova M.N.
DOI:10.13108/2016-8-3-109
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Article on MathNetAbstact
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.