Self-similar solutions in a plasma with axial magnetic field (θ-pinch)

被引：15

作者：

Jena, J. ^{[1
]}

机构：

[1] Netaji Subhas Inst Technol, Dept Math, Sect 3, New Delhi 110078, India

来源：

MECCANICA | 2012年 / 47卷 / 05期

关键词：

Lie group transformation; Shock wave; Plasma; RELAXING GAS; SHOCKS;

D O I：

10.1007/s11012-011-9505-2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, Lie group of transformation method is used to investigate the self-similar solutions for the system of partial differential equations describing a plasma with axial magnetic field (theta-pinch). The arbitrary constants occurring in the expressions for the infinitesimals of the local Lie group of transformations give rise to two different cases of possible solutions i.e. with a power law and exponential shock paths. A particular solution to the problem in one case has been found out.

引用

页码：1209 / 1215

页数：7

共 16 条

[1]

[Anonymous], 1964, SIMILARITY ANAL BOUN

[2]

[Anonymous], 1967, PHYS SHOCK WAVES HIG

[3]

[Anonymous], 1966, PHYS SHOCK WAVES HIG

[4]

Bluman G. W., 2013, Symmetries and Differential Equations, V81

[5]

Bluman G. W., 1974, Appl. Math. Sci., V13

[6]

Hydon P.E., 2000, Symmetry methods for differential equations. A beginner's guide

[7]

Jena, 2005, APPL ANAL, V84, P37, DOI 10.1080/00036810412331297226

[8] Lie transformation group solutions of non-linear equations describing viscoelastic materials [J].

Jena, J ;

Sharma, VD .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1997, 35 (10-11) :1033-1044

[9] Lie-group theoretic method for analyzing interaction of discontinuous waves in a relaxing gas [J].

Jena, J. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2007, 58 (03) :416-430

[10] Self-similar shocks in a dusty gas [J].

Jena, J ;

Sharma, VD .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (02) :313-327

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