We have investigated the interaction of obliquely propagating ion acoustic solitary waves in a magnetoplasma with relativistically degenerate electrons. Using the quantum hydrodynamics model and by employing the extended Poincaré–Lighthill–Kuo technique, we have derived a set of Korteweg de Vries equations for two solitons. We have observed that the system under consideration allows the formation of only compressive solitons and their velocities remain in the sub-acoustic limit. Furthermore, phase shifts of solitons as a result of their interaction have been calculated. The phase shifts have been observed to be dependent on the obliqueness and the physical parameters of plasma. It has also been noticed that phase shifts remain negative for the whole range of parameters generally found in white dwarf stars. We have observed that the phase shifts enhance with the enhancement in number density, however, the converse happens when the magnetic field is enhanced. It has also been observed that the phase shift is slightly greater for the solitons that are less oblique as compared to their more oblique counterparts. Furthermore, we have estimated the spatial scales of interaction of solitons using the parameters found in white dwarf stars.

中文翻译：

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相对简并致密磁等离子体中静电非线性结构的斜相互作用

我们研究了磁等离子体中倾斜传播的离子声孤立波与相对论简并电子的相互作用。使用量子流体动力学模型并通过使用扩展的 Poincaré-Lighthill-Kuo 技术，我们推导出了一组用于两个孤子的 Korteweg de Vries 方程。我们已经观察到，所考虑的系统只允许形成压缩孤子，并且它们的速度保持在亚声学极限内。此外，还计算了孤子相互作用导致的相移。已经观察到相移取决于等离子体的倾斜度和物理参数。人们还注意到，对于通常在白矮星中发现的整个参数范围，相移仍然为负。我们已经观察到相移随着数密度的增强而增强，然而，当磁场增强时会发生相反的情况。还观察到，与倾斜度较大的孤子相比，倾斜度较小的孤子的相移稍大。此外，我们使用白矮星中发现的参数估计了孤子相互作用的空间尺度。