Lax integrable nonlinear partial difference equations

被引：0
|
作者：
Sahadevan, R. [1 ]
Nagavigneshwari, G. [1 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Madras 600005, Tamil Nadu, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 03期
关键词：
Lax integrable partial difference equations; Ordinary difference equations; SINGULARITY CONFINEMENT; SOLITON-EQUATIONS; MAPPINGS; SYSTEMS;
D O I：
10.1016/j.cnsns.2014.06.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A systematic investigation to derive nonlinear lattice equations governed by partial difference equations admitting specific Lax representation is presented. Further whether or not the identified lattice equations possess other characteristics of integrability namely Consistency Around the Cube (CAC) property and linearizability through a global transformation is analyzed. Also it is presented that how to derive higher order ordinary difference equations or mappings from the obtained lattice equations through periodic reduction and investigated whether they are measure preserving or linearizable and admit sufficient number of integrals leading to their integrability. (C) 2014 Elsevier B.V. All rights reserved.
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页码：674 / 683
页数：10
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