摘要
考虑了尘埃绝热放电、外磁场和碰撞等因素对尘埃等离子体动力学行为的影响,运用约化摄动法,得出三维尘埃声孤子波的KdV方程.研究结果表明,仅仅存在稀疏型孤立波,而且z方向波矢、离子温度和电子-离子数密度之比(μ)等因素对孤立波的波幅和波宽都有显著影响,外磁场和碰撞频率只对波宽有影响.在研究波宽随μ的变化规律时,发现μ存在一个临界值μc,当μ<cμ时,波宽随μ的增大而增大;而当μ>cμ时,波宽随μ的增大而减小.
Taking into account the adiabatic dust charge fluctuation, the external magnetic field and dust grains collisions effects, 3-D dust-acoustic solitary in a uniform dusty plasmas is investigated analytically. By using the reductive perturbation method, the KdV equation governing the dust acoustic solitary waves is obtained. It is shown that the rarefactive solitary waves only exist, furthermore, the effects of the wave vector along the z axis, the temperature of ion and the ratio of electron to ion（μ） have strong influence on the amplitude and the width of the waves, the external magnetic field and collisional frequency only modify the width of the waves. Moreover, in studying the variations of the waves width withμ, it is found that there exists a critical value ofμ, i.e. ,μc, and whenμ〈μC, the width of the waves increases withμ, however, whenμ〈μc, the width of the waves decreases asμ increases.
出处
《西北师范大学学报（自然科学版）》
CAS
2006年第6期36-39,共4页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10475066
10347006)
甘肃省自然科学基金资助项目(3ZS051-A25-013)
关键词
绝热放电
尘埃等离子体
约化摄动法
孤立波
adiabatic variation
dust plasmas
reductive perturbation method
solitary waves
