Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-10-3_020

تاریخ نمایه سازی: 9 بهمن 1401

Abstract:

In the present paper, a modified simple equation method is used to obtain exact solutions of the equal width wave Burgers and modified equal width wave Burgers equations. By giving specific values to the parameters, particular solutions are obtained and the plots of solutions are drawn. It shows that the proposed method can be easily generalized to solve a variety of non-linear equations by implementing a robust and straightforward algorithm without the need for any tools.

Keywords:

Simple equation method , Burgers equation , Modified equal width wave equation , Soliton solution

Authors

Azadeh Badiepour

Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.

Zainab Ayati

Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan P.C.۴۴۸۹۱-Rudsar-Vajargah,Iran.

Hamideh Ebrahimi

Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.

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