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

页码：146 / +

页数：2

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