SYMMETRIES AND CONSERVATION LAWS FOR A TWO-COMPONENT DISCRETE POTENTIAL KORTEWEG-DE VRIES EQUATION

被引：1

作者：

Poptsova, M. N. ^{[1
]}

Habibullin, I. T. ^{[1
]}

机构：

[1] RAS, Inst Math, Ufa Sci Ctr, Chenryshevsky Str 112, Ufa 450008, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2016年 / 8卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

integrable dynamical systems; equation on square graph; symmetries; conservation laws; Lax pair;

D O I：

10.13108/2016-8-3-109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 potential two-component Korteweg-de Vries equation.

引用

页码：109 / 121

页数：13

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