Solitary and periodic waves in two-fluid magnetohydrodynamics

被引：3

作者：

Gavrikov, M. B. ^{[2
]}

Kudryashov, N. A. ^{[1
]}

Petrov, B. A. ^{[1
]}

Savelyev, V. V. ^{[1
,2
]}

Sinelshchikov, D. I. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPhI, Dept Appl Math, 31 Kashirskoe Shosse, Moscow 115409, Russia

[2] Russian Acad Sci, MV Keldysh Inst Appl Math, Miusskaya Sq 4, Moscow 125047, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 38卷

基金：

俄罗斯科学基金会;

关键词：

Two-fluid magnetohydrodynamics; Plasma; Painleve test; Periodic waves; Solitary waves; Exact solutions; ORDINARY DIFFERENTIAL-EQUATIONS; SOLAR-WIND; EVOLUTION-EQUATIONS; ALFVEN WAVES; CONNECTION; DERIVATION; STABILITY; CORONA; MODEL; MHD;

D O I：

10.1016/j.cnsns.2016.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system of equations of two-fluid magnetohydrodynamics is studied. An ordinary differential equation describing traveling waves in an ideal cold quasi-neutral plasma is obtained in the case of quasi-stationary electromagnetic field. The Painleve analysis of this equation is carried out and the general solution of the equation is constructed in terms of the Weierstrass elliptic function. Solitary and periodic wave solutions for the components of magnetic field are found and analyzed. (c) 2016 Elsevier B.V. All rights reserved.

引用

页码：1 / 7

页数：7

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