A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 115
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شناسه ملی سند علمی:
JR_CMDE-2-3_003
تاریخ نمایه سازی: 15 اسفند 1401
چکیده مقاله:
In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity and advantages of the novel method. As a result, some new exact solutions including solitary wave solutions and periodic wave solutions are successfully obtained. The proposed approach can also be applied to other nonlinear FPDEs arising in mathematical physics.
کلیدواژه ها:
Fractional sub-equation method ، fractional partial differential equations ، Exact solutions ، modified Riemann-Liouville derivative
نویسندگان
Mehmet Ekici
Department of Mathematics, Faculty of Science and Arts, Bozok University, Yozgat, Turkey
Abdullah Sonmezoglu
Department of Mathematics, Faculty of Science and Arts, Bozok University, ۶۶۱۰۰ Yozgat, Turkey
Elsayed M. E. Zayed
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt