A unified construction for the algebro-geometric quasiperiodic solutions of the Lotka-Volterra and relativistic Lotka-Volterra hierarchy

被引：3
作者：
Zhao, Peng [1 ]
Fan, Engui [2 ,3 ,4 ]
机构：
[1] Shanghai Maritime Univ, Coll Arts & Sci, Shanghai 201306, Peoples R China
[2] Fudan Univ, Inst Math, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[4] Univ Macau, Dept Math, Macau, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 04期
基金：
美国国家科学基金会;
关键词：
TODA LATTICE; DETERMINANT SOLUTION; LAX REPRESENTATION; RECURSION OPERATOR; R-MATRIX; EQUATION; SYSTEMS;
D O I：
10.1063/1.4916676
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a new type of integrable differential-difference hierarchy, namely, the generalized relativistic Lotka-Volterra (GRLV) hierarchy, is introduced. This hierarchy is closely related to Lotka-Volterra lattice and relativistic Lotka-Volterra lattice, which allows us to provide a unified and effective way to obtain some exact solutions for both the Lotka-Volterra hierarchy and the relativistic Lotka-Volterra hierarchy. In particular, we shall construct algebro-geometric quasiperiodic solutions for the LV hierarchy and the RLV hierarchy in a unified manner on the basis of the finite gap integration theory. (C) 2015 AIP Publishing LLC.
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收藏
页数：35
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