بررسی تقارنی‌های کلاسیک و غیر کلاسیک و جوابهای تحلیلی دستگاه معادلات دیفرانسیل کسری HFG

نویسندگان
دانشگاه بناب
چکیده
در این مقاله به تجزیه و تحلیل تقارنی‌های کلاسیک و غیر کلاسیک گروه لی دستگاه معادلات دیفرانسیل کسری غیر خطی (HGF) Hunter-Gatherer-Farmer می‌پردازیم. در واقع، از گروه تقارنی‌های کلاسیک و غیر کلاسیک برای کاهش معادله HFG کسری غیرخطی با مشتقات جزئی به دستگاه معادلات کسری غیرخطی معمولی استفاده می شود. در نهایت جواب دقیق معادلات مربوطه استخراج می گردند.
کلیدواژه‌ها

عنوان مقاله English

Classical and non-classical symmetries and analytical solutions of the system of fractional HGF differential equations

نویسندگان English

Mir Sajjad Hashemi
Ali Hahi-Badali
Farzaneh Alizadeh
University of Bonab
چکیده English

In this paper, we consider the classical and non-classical Lie symmetries of fractional HGF differential equations. Indeed, Lie symmetries are utilized to reduce the fractional nonlinear PDEs into the fractional nonlinear ODEs. Finally, exact solutions of the corresponding equations are extracted.

کلیدواژه‌ها English

Non-classical symmetry
Lie groups
Exact solution
System of fractional HGF differential equations
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