Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence

被引：3

作者：

Chen, Huizhan ^{[1
]}

Geng, Lumin ^{[1
]}

Cheng, Jipeng ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2020年 / 27卷 / 02期

基金：

中国博士后科学基金;

关键词：

Hirota bilinear equation; Boson-Fermion correspondence; k-constrained mKP hierarchy; rational and soliton solutions; SQUARED EIGENFUNCTION SYMMETRIES; MODIFIED KP HIERARCHY; KADOMTSEV-PETVIASHVILI EQUATION; SOLITON-EQUATIONS; TRANSFORMATION GROUPS; BILINEAR IDENTITIES;

D O I：

10.1080/14029251.2020.1700647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Hirota bilinear equation of the constrained modified KP hierarchy is expressed as the vacuum expectation values of Clifford operators by using the free fermions method of mKP hierarchy. Then we mainly use the Boson-Fermion correspondence to solve the Hirota bilinear equation of the k-constrained mKP hierarchy. Further, by choosing special group elements in GL(infinity), the corresponding rational and soliton solutions are given.

引用

页码：308 / 323

页数：16

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