The squared eigenfunction symmetries of the discrete KP and modified discrete KP hierarchies under the Miura transformations

被引：7
作者：
Jian, Siqi [1 ]
Cheng, Jipeng [2 ]
机构：
[1] Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China
[2] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 27期
基金：
中国博士后科学基金;
关键词：
Squared eigenfunction symmetry; Miura transformation; the discrete KP and modified discrete KP hierarchies; constrained discrete KP hierarchies; constrained modified discrete KP hierarchies; KADOMTSEV-PETVIASHVILI HIERARCHY; GAUGE TRANSFORMATIONS; ADDITIONAL SYMMETRIES; SOLITON-EQUATIONS; REPRESENTATION; REDUCTIONS; CONSTRAINTS; ALGEBRA;
D O I：
10.1142/S0217984918503268
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, we investigate the squared eigenfunction symmetries under the Miura and reverse-Miura transformations, between the discrete KP and modified discrete KP hierarchies, in unconstrained and constrained cases. What is more, the squared eigen-function symmetries for the constrained discrete KP and constrained modified discrete KP hierarchies are constructed by imposing the additional conditions on the generating eigenfunctions of the corresponding symmetries.
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页数：20
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