尘埃等离子体中非线性波的叠加效应及稳定性问题

研究了小的有限振幅的无磁场尘埃等离子体中的非线性波.在一维情况下由Kortewegde Veries(KdV)方程来描述,考虑了二维情况下尘埃等离子体中尘埃颗粒上电荷的变化效应以及双温度离子效应后,尘埃等离子体受到横向高阶扰动后动力学方程由Kadomtsev-Petviashvili(KP)方程来描述.在此基础上,研究了以任意夹角传播的两个及三个孤立子的相互作用问题,考虑非线性效应后振幅相等的双孤立子在相互作用区域内振幅最大值是单个孤立子振幅的4倍,振幅相等的三孤立子在相互作用区域内振幅最大值是单个孤立子振幅的9倍.研究还表明波的传播方向受到横向高阶扰动后是稳定的.

Instability and interaction of the nonlinear solitary waves in two-temperature-ion dusty plasma

For nonlinear dust acoustic waves in unmagnetized dusty plasma containing cold dust grains and isothermal electrons and ions,small but finite amplitude nonlinear waves are governed by the Korteweg de Veries(KdV) equation.For weakly two-dimensional dust acoustic solitary waves in a dusty plasma with variable dust charge and two-temperature ions,we obtain a Kadomtsev-Petviashvili equation under higher order transverse disturbances for this system.The interactions between two solitons and three solitons propag...