ABSTRACT

The modulational instability of ion-acoustic rogue waves in a three-dimensional magnetized, dissipative plasma consisting of inertial warm positive ions and nonextensive electrons has been theoretically investigated. Using the well-known reductive perturbation method, the (3+1)-dimensional modified nonlinear Schrödinger equation (mNLSE), i.e. the standard NLSE in addition to the dissipative term has been derived and then solved to obtained instability criteria, as well as first- and second-order rogue wave solutions. It is found that increasing viscosity results in dissipation of energy which makes the IARW shorter and thinner as was reported in the literature. Furthermore effects of relevant parameters such as nonextensive parameter, and magnetic field on growth rate and rogue waves solutions were discussed in detail. The results of the present investigation may be useful in understanding and predicting the nonlinear excitations that occur in space and laboratory dissipative plasma systems.

摘要

理论上研究了由惯性暖正离子和非广域电子组成的三维磁化耗散等离子体中离子声流氓波的调制不稳定性。采用著名的归约微扰法，推导了（3+1）维修正非线性薛定谔方程（mNLSE），即除耗散项外的标准NLSE，然后求解得到不稳定性判据，以及首先- 和二阶流氓波解决方案。发现增加粘度会导致能量耗散，这使得 IARW 更短更薄，如文献中报道的那样。此外，还详细讨论了相关参数如非外延参数和磁场对生长速率和流氓波解的影响。