Abstract The nonlinear wave excitations arising from the spatially varying magnetic field in the quantum plasma environment are investigated in the frame work of quantum hydrodynamic model. In the weakly nonlinear, dispersive and dissipative limit it is shown that the varying magnetic field and collision-induced excitations can be described by a modified form of Korteweg-de Vries–Burgers’ type model equation. It is found that the dissipation terms (Burgers’ and collisional term) arise due to spatially varying magnetic field and the ion-neutral collisions. The numerical solutions of this equation predict that the localized soliton solutions decay algebraically due to the combined effect of varying magnetic field and collision by radiating oscillatory pulses behind the propagating soliton.

中文翻译：

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变化的磁场对碰撞量子等离子体中非线性波激发的影响

摘要 在量子流体动力学模型框架中研究了量子等离子体环境中空间变化磁场引起的非线性波激发。在弱非线性、色散和耗散极限中，表明变化的磁场和碰撞诱发的激发可以通过 Korteweg-de Vries-Burgers 类型模型方程的修改形式来描述。发现耗散项（伯格斯项和碰撞项）是由空间变化的磁场和离子中性碰撞引起的。该方程的数值解预测局部孤子解由于在传播的孤子后面辐射振荡脉冲而变化的磁场和碰撞的综合效应而代数衰减。