03 خرداد 1403
عليرضا عبدي كيان

علیرضا عبدی کیان

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / فیزیک نظری (پلاسما)
تلفن:
دانشکده: دانشکده علوم پایه

مشخصات پژوهش

عنوان
Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in magnetized plasmas
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
nonextensive plasma, phase plane analysis, kink and anti-kink waves, dynamical system
سال
2020
مجله Physica Scripta
پژوهشگران علیرضا عبدی کیان

چکیده

Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in a magnetized nonextensive electron-ion plasma is examined. These electron-acoustic waves (EAWs) are studied based on the Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations. The dynamical systems for both the KdV and mKdV equations are formed using the propagating wave transfiguration. Phase plane analyses of EAWs corresponding to the KdV and mKdV equations are shown. Analytical solution corresponding to the electron-acoustic solitary wave for the KdV equation is derived. Analytical forms of kink, anti-kink and periodic wave solutions in ranges −1<q<0 and 0<q<1 are obtained for the mKdV equation. Superperiodic EAWs under the mKdV equation in the range q>1 are shown numerically. Existence of small amplitude superperiodic EAWs under the mKdV equation is shown for the first time in a magnetized nonextensive electron-ion plasma using the concept of planar dynamical systems. Effects of system parameters on different traveling wave solutions of EAWs are displayed. Outcome of the study can be implemented to understand nonlinear and supernonlinear EAWs in space and atmosphere, such as, auroral zones and magnetosphere.