Discrete Painleve transcendent solutions to the multiplicative-type discrete KdV equations

被引：1
|
作者：
Nakazono, Nobutaka [1 ]
机构：
[1] Tokyo Univ Agr & Technol, Inst Engn, 2-24-16 Nakacho Koganei, Tokyo 1848588, Japan
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 04期
关键词：
SYSTEMS; ANALOG;
D O I：
10.1063/5.0054905
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Hirota's discrete Korteweg-de Vries (KdV) equation is an integrable partial difference equation on Z(2), which approaches the KdV equation in a continuum limit. In this paper, we show that its multiplicative-discrete versions have the special solutions given by the solutions of q-Painleve equations of types A(J)((1))(J=3,4,5,6). Published under an exclusive license by AIP Publishing
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页数：17
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