Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations

被引：24

作者：

Hongsit, Nongluk ^{[2
]}

Allen, Michael A. ^{[1
]}

Rowlands, George ^{[3
]}

机构：

[1] Mahidol Univ, Dept Phys, Bangkok 10400, Thailand

[2] Mahidol Univ, Dept Math, Bangkok 10400, Thailand

[3] Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 14期

关键词：

solitons; transverse stability; generalized Zakharov-Kuznetsov equation;

D O I：

10.1016/j.physleta.2007.12.005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the small-k expansion method, we obtain a closed-form expression for the growth rate of long-wavelength transverse instabilities of solitary pulse solutions to a modified Zakharov-Kuznetsov equation with a nonlinearity of the form (Au-P + Bu-2p)u(x). (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2420 / 2422

页数：3

共 18 条

[1] Weakly nonlinear waves in magnetized plasma with a slightly non-Maxwellian electron distribution. Part 1. Stability of solitary waves [J].