Integrable Mobius-invariant evolutionary lattices of second order

被引：6

作者：

Adler, V. E. ^{[1
]}

机构：

[1] LD Landau Inst Theoret Phys, Chernogolovka, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2016年 / 50卷 / 04期

关键词：

integrability; symmetry; conservation law; Mobius invariant; cross-ratio; EQUATIONS; SYMMETRIES;

D O I：

10.1007/s10688-016-0157-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the classification problem for integrable lattices of the form u, (t) = f(u (-2),..., u (2)) under the additional assumption of invariance with respect to the group of linear-fractional transformations. The obtained list contains five equations, including three new ones. Difference Miura-type substitutions are found, which relate these equations to known polynomial lattices. We also present some classification results for generic lattices.

引用

页码：257 / 267

页数：11

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