On integrable Ermakov-Painleve IV systems

被引：5

作者：

Rogers, Colin ^{[1
]}

Bassom, Andrew P. ^{[2
]}

Clarkson, Peter A. ^{[3
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Univ Tasmania, Sch Math & Phys, Private Bag 37, Hobart, Tas 7001, Australia

[3] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7FS, Kent, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 462卷 / 02期

关键词：

Ermakov-Painleve systems; Painleve equation; Backlund transformations; MOVING BOUNDARY-PROBLEMS; DIFFERENTIAL-EQUATIONS; POLYNOMIAL HAMILTONIANS; NONLINEAR SUPERPOSITION; ORTHOGONAL POLYNOMIALS; CONNECTION FORMULAS; TRANSFORMATIONS; BACKLUND; LINEARIZATION; REDUCTION;

D O I：

10.1016/j.jmaa.2018.02.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Novel hybrid Ermakov-Painleve IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. Backlund transformations are then employed to generate classes of exact solutions via the linked canonical Painleve IV equation. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1225 / 1241

页数：17

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