دورية أكاديمية

Investigation Of The Time Fractional Generalized (2 + 1)-Dimensional Zakharovâ€'Kuznetsov Equation With Single-Power Law Nonlinearity

التفاصيل البيبلوغرافية
العنوان: Investigation Of The Time Fractional Generalized (2 + 1)-Dimensional Zakharovâ€'Kuznetsov Equation With Single-Power Law Nonlinearity
المؤلفون: Jian-Gen Liu, Yu-Feng Zhang, Jing-Jing Wang
المصدر: World Scientific Publishing Co. Pte. Ltd., FRACTALS (fractals). 31(05):1-14
سنة النشر: 2023
الوصف: In this paper, we studied the time fractional generalized (2 + 1)-dimensional Zakharov–Kuznetsov (ZK) equation with single-power law nonlinearity, which can be used to describe weakly nonlinear ion-acoustic waves in strongly magnetized lossless plasma in two dimensions. Through the fractional Lie transformation group idea, the symmetries, similarity reduction, one-parameter Lie transformation group and conservation laws of these considered equations were obtained. In addition, some new exact solutions were also constructed for them. These novel results provide a new perspective for studying the evolutionary mechanism of these considered models.
نوع الوثيقة: redif-article
اللغة: English
DOI: 10.1142/S0218348X23500330
الإتاحة: https://ideas.repec.org/a/wsi/fracta/v31y2023i05ns0218348x23500330.html
رقم الأكسشن: edsrep.a.wsi.fracta.v31y2023i05ns0218348x23500330
قاعدة البيانات: RePEc
الوصف
DOI:10.1142/S0218348X23500330