THE PAINLEVE ANALYSIS OF THE ZAKHAROV-KUZNETSOV EQUATION

被引：37

作者：

SHIVAMOGGI, BK

机构：

[1] Department of Mathematics, University of Central Florida, Orlando, FL

来源：

PHYSICA SCRIPTA | 1990年 / 42卷 / 06期

关键词：

D O I：

10.1088/0031-8949/42/6/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we make a Painlevé analysis of the Zakharov-Kuznetsov equation (which governs nonlinear ion-acoustic waves in a magnetized plasma) and show that it possesses the Painlevé property though there is no other evidence that this equation is integrable. © 1990 IOP Publishing Ltd.

引用

收藏

页码：641 / 642

页数：2

相关论文

共 12 条

[1] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721

[2]

[Anonymous], 1989, CHAOS INTEGRABILITY

[3] SELF-FOCUSING OF NONLINEAR ION-ACOUSTIC-WAVES AND SOLITONS IN MAGNETIZED PLASMAS [J].

INFELD, E .

JOURNAL OF PLASMA PHYSICS, 1985, 33 (APR) :171-182

[4] SELF-FOCUSING OF NONLINEAR ION-ACOUSTIC-WAVES AND SOLITONS IN MAGNETIZED PLASMAS .2. NUMERICAL SIMULATIONS, 2-SOLITON COLLISIONS [J].

INFELD, E ;

FRYCZ, P .

JOURNAL OF PLASMA PHYSICS, 1987, 37 :97-106

[5] LIMITATIONS OF TWO-DIMENSIONAL MODEL-EQUATIONS FOR ION-ACOUSTIC-WAVES [J].

LAEDKE, EW ;

SPATSCHEK, KH .

PHYSICAL REVIEW LETTERS, 1981, 47 (10) :719-722

[6] NON-LINEAR ION-ACOUSTIC-WAVES IN WEAK MAGNETIC-FIELDS [J].

LAEDKE, EW ;

SPATSCHEK, KH .

PHYSICS OF FLUIDS, 1982, 25 (06) :985-989

[7] GROWTH-RATES OF BENDING KDV SOLITONS [J].

LAEDKE, EW ;

SPATSCHEK, KH .

JOURNAL OF PLASMA PHYSICS, 1982, 28 (DEC) :469-484

[8] THE PAINLEVE PROPERTY AND SINGULARITY ANALYSIS OF INTEGRABLE AND NON-INTEGRABLE SYSTEMS [J].

RAMANI, A ;

GRAMMATICOS, B ;

BOUNTIS, T .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1989, 180 (03) :159-245

[9] NONLINEAR ION-ACOUSTIC-WAVES IN A MAGNETIZED PLASMA AND THE ZAKHAROV KUZNETSOV EQUATION [J].

SHIVAMOGGI, BK .

JOURNAL OF PLASMA PHYSICS, 1989, 41 :83-88

[10] THE PAINLEVE PROPERTY FOR THE SELF-DUAL GAUGE-FIELD EQUATIONS [J].

WARD, RS .

PHYSICS LETTERS A, 1984, 102 (07) :279-282