A hierarchy of generalized Jaulent-Miodek equations and their explicit solutions

被引：2

作者：

Geng, Xianguo ^{[1
]}

Guan, Liang ^{[2
]}

Xue, Bo ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China

[2] Anyang Normal Univ, Sch Math & Stat, 436 Xiange Rd, Anyang 455000, Henan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized Jaulent-Miodek hierarchy; algebro-geometric method; explicit solutions; QUASI-PERIODIC SOLUTIONS; FLOWS;

D O I：

10.1142/S0219887818500020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A hierarchy of generalized Jaulent-Miodek (JM) equations related to a new spectral problem with energy-dependent potentials is proposed. Depending on the Lax matrix and elliptic variables, the generalized JM hierarchy is decomposed into two systems of solvable ordinary differential equations. Explicit theta function representations of the meromorphic function and the Baker-Akhiezer function are constructed, the solutions of the hierarchy are obtained based on the theory of algebraic curves.

引用

页数：21

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