کاربردهای ازروش تغییر پذیر و کوردیاشف برای معادلات دیفرانسیل کسری غیر خطی
Publish place: Caspian Journal of Mathematical Sciences، Vol: 4، Issue: 2
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-4-2_007
تاریخ نمایه سازی: 16 مهر 1398
Abstract:
In this paper, we establish exact solutions for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. The He’s semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations.
We apply He’s semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. Based on this formulation, a solitary solution can be easily obtained using the Ritz method. The Kudryashov method is used to construct exact solutions of the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system.
Moreover, it is observed that the suggested techniques are compatible with the physical nature of such problems.
Keywords:
He’s semi-inverse method , time-fractional Klein-Gordon equation , time-fractional Hirota-Satsuma coupled KdV system
Authors
M. Akbari
University of Guilan
N. Taghizadeh
University of Guilan