Modified simple equation method (MSEM) for solving nonlinear (۳+۱)-dimensional space-time fractional equations

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 32

فایل این مقاله در 12 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_CMDE-12-2_015

تاریخ نمایه سازی: 28 اسفند 1402

چکیده مقاله:

In the present paper, modified simple equation method (MSEM) is implemented for obtaining exact solutions of three nonlinear (۳ + ۱)-dimensional space-time fractional equation, namely three types of modified Korteweg-de-Vries (mKdV) equations. Here, the derivatives are of the type of conformable fractional derivatives. The solving process produces a system of algebraic equations which is possible to be easily with no need of using software for determining unknown coefficients. Results show that this method can supply a powerful mathematical tool to construct exact solutions of mKdV equations and it can be employed for other nonlinear (۳ + ۱) - dimensional space-time fractional equations.

کلیدواژه ها:

Modified simple equation method (MSEM) ، Exact solutions ، ( ۳ + ۱ )- Dimensional fractional equations ، Conformable fractional derivative

نویسندگان

Mohammad Saeed Barikbin

Department of Mathematics, Takestan branch, Islamic Azad University, Takestan, Iran