تحلیل تقارنی لی و تعیین جواب‌های صریح تحلیلی دستگاه معادلات کسری زمانی درینفلد-سوکولوف-ویلسون

نویسندگان
دانشگاه صنعتی مالک اشتر، شاهین شهر، ایران
چکیده
در این تحقیق، دستگاه معادلات دیفرانسیل جزئی غیرخطی با مشتقات کسری زمانی درینفلد-سوکولوف-ویلسون که توصیف کننده انتشار نامتعارف امواج آب کم عمق است، بررسی شده است. یک روش آنالیز متقارن لی برای تحلیل مدل داده شده است. با محاسبه و استفاده از تبدیلات تشابهی مناسب، دستگاه معادلات مشتقات جزئی کسری زمانی به یک دستگاه معادلات مشتقات معمولی با مشتقات کسری اردلی-کوبر کاهش یافته است. به‌علاوه، روش زیرفضاهای ناوردا برای محاسبه یک دسته از جواب های صریح تحلیلی دستگاه کسری درینفلد-سوکولوف-ویلسون استفاده شده است.
کلیدواژه‌ها

عنوان مقاله English

Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System

نویسندگان English

Hadi Roohani Ghehsareh
Ahmad Majlesi
Ali Zaghian
Malek Ashtar University of technology
چکیده English

In this study coupled system of nonlinear time fractional Drinfeld-Sokolov-Wilson equations, which describes the propagation of anomalous shallow water waves is investigated. The Lie symmetry analysis is performed on the model. Employing the suitable similarity transformations, the governing model is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober fractional derivatives. Moreover the invariant subspace method is used to calculate the explicit analytical solutions of the problem. ./files/site1/files/42/5Abstract.pdf

کلیدواژه‌ها English

Lie symmetry analysis
Time fractional Drinfeld-Sokolov-Wilson (DSW) system
Erdelyi-Kober operators
Invariant subspace method
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