Darboux-Backlund Transformations and Rational Solutions of the Painleve IV Equation

被引：4
|
作者：
Aratyn, H. [1 ]
Gomes, J. F. [2 ]
Zimerman, A. H. [2 ]
机构：
[1] Univ Illinois, Dept Phys, Chicago, IL 60607 USA
[2] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
来源：
NONLINEAR AND MODERN MATHEMATICAL PHYSICS | 2010年 / 1212卷
基金：
巴西圣保罗研究基金会;
关键词：
Darboux-Backlund transformation; the AKNS hierarchy; the Painleve IV equation; DIFFERENTIAL-EQUATIONS; KP HIERARCHIES; SYMMETRIES; POLYNOMIALS;
D O I：
10.1063/1.3367030
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Backlund transformations.
引用
收藏
页码：146 / +
页数：2
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