A Ermakov-Ray-Reid reduction in 2+1-dimensional magnetogasdynamics

被引：0
|
作者：
Rogers, Colin [1 ,2 ]
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
[2] Univ New South Wales, Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Sch Math, Sydney, NSW 2052, Australia
来源：
GROUP ANALYSIS OF DIFFERENTIAL EQUATIONS AND INTEGRABLE SYSTEM, 5TH INTERNATIONAL WORKSHOP | 2011年
关键词：
TIME-DEPENDENT SOLUTIONS; SUBSTITUTION PRINCIPLES; NONLINEAR SUPERPOSITION; SIMILARITY SOLUTIONS; SYSTEMS; EQUATIONS; BEAMS; PLASMA;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A 2+1-dimensional system governing rotating homentropic magnetogasdynamics with a parabolic gas law is shown to admit an elliptic vortex ansatz determined by an eight-dimensional nonlinear dynamical system with underlying integrable Ermakov-Ray-Reid structure. A novel magnetogasdynamic analogue of the pulsrodon of shallow water f-plane theory is isolated thereby.
引用
收藏
页码：164 / 177
页数：14
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