On Hybrid Ermakov-Painleve Systems. Integrable Reduction

被引：8
|
作者：
Rogers, Colin [1 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2017年 / 24卷 / 02期
关键词：
ELLIPTIC GAUSSIAN BEAMS; SHALLOW-WATER THEORY; NONLINEAR OPTICS; II MODEL; EQUATIONS; MEDIA; LINEARIZATION; SUPERPOSITION; TRANSFORMATIONS; TRANSCENDENT;
D O I：
10.1080/14029251.2017.1313477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hybrid Ermakov-Painleve II-IV systems are introduced here in a unified manner. Their admitted Ermakov invariants together with associated canonical Painleve equations are used to establish integrability properties.
引用
收藏
页码：239 / 249
页数：11
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