Lagrangians and integrability for additive fourth-order difference equations

被引：7
|
作者：
Gubbiotti, Giorgio [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat F07, Sydney, NSW 2006, Australia
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2020年 / 135卷 / 10期
基金：
澳大利亚研究理事会;
关键词：
MAPPINGS; SINGULARITY; 1ST; 2ND;
D O I：
10.1140/epjp/s13360-020-00858-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use a recently found method to characterise all the invertible fourth-order difference equations linear in the extremal values based on the existence of a discrete Lagrangian. We also give some result on the integrability properties of the obtained family and we put it in relation with known classifications. Finally, we discuss the continuum limits of the integrable cases.
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页数：30
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