一种基于多尺度分析的离散线性化检验方法
A discrete linearizability test based on multiscale analysis
摘要：
本文考虑了定义在四元图上的色散可线性化偏差分方程在调和解附近的多重尺度约化的分类。我们证明了A_1、A_2和A_3线性化条件限制了进入方程的参数个数。满足A_3C-可积性条件的一类方程可以用Mobius变换
英文摘要：
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution. We show that the A_1, A_2 and A_3 linearizability conditions restrain the number of the parameters which enter into the equation. A subclass of the equations which pass the A_3 C-integrability conditions can be linearized by a Mobius transformation.
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