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
View: 154

This Paper With 11 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

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.

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • A. Akbulut, F. Ta¸scan, and M. Ghahremani, On symmetries, conservation ...
  • M. N. Alam and C. Tun¸c, Constructions of the optical ...
  • M. N. Alam and C. Tun¸c, New solitary wave structures ...
  • M. N. Alam and C. Tun¸c, The new solitary wave ...
  • H. A. Ali, Application of He’s Exp-function method and semi-inverse ...
  • New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution [مقاله ژورنالی]
  • J. Biazar and Z. ayati , Application of Exp-function method ...
  • J.Biazar, E. Babolian, A. Nouri, and R. Islam, An alternate ...
  • Ebaid, Exact solitary wave solutions for some nonlinear evolution equations ...
  • S. A. El-Wakil, Application of Exp-function method for nonlinear evolution ...
  • J. H. He, Application of homotopy perturbation method to nonlinear ...
  • J. H. He and X. H. Wu, Exp-function method for ...
  • J. H. He, Variational iteration method—a kind of non-linear analytical ...
  • J. H. He, Variational iteration method for autonomous ordinary differential ...
  • M. Ilie, J. Biazar, and Z. Ayati, Resonant solitons to ...
  • R. Islam, K. Khan, M. A. Akbar, Md. Ekramul Islam, ...
  • Sh. Islam, Md. Nur Alam , Md. Fayz Al-Asad, and ...
  • A. J. M. Jawad, M. D. Petkovic, and A. Biswas, ...
  • S. B. Karakoc and K. Karam Ali, New exact solutions ...
  • K. Khan and M. Ali Akbar, Exact solutions of the ...
  • K. khan and M. Ali Akbar, Exact and solitary wave ...
  • N. A. Kudryashov and N. B. Loguinova, Extended simplest equation ...
  • Some new soliton solutions for the nonlinear the fifth-order integrable equations [مقاله ژورنالی]
  • W. Malfliet and w. Hereman, The tanh method: I. Exact ...
  • S. N. Neossi Nguetchue, Axisymmetric spreading of a thin power-law ...
  • N. Taghizadeh, M. Mirzazadeh, A. Samiei Paghaleh, and J. Vahidi, ...
  • K. Vitanov Nikolay, Modified method of simplest equation:powerful tool for ...
  • K. Wang and G. Wang. Variational principle, solitary and periodic ...
  • A. M. Wazwaz, The tanh method: Exact solutions of the ...
  • M. E. Zayed Elsayed and A. Amer Yasser, ”Exact solutions ...
  • E. M. E. Zayed, A note on the modified simple ...
  • E. M. E. Zayed and S. A. H. Ibrahim, Exact ...
  • M. E. Zayed Elsayed and A.-Gh. Al-Nowehy, Solitons and other ...
  • E. M. E. Zayed, The modified simple equation method for ...
  • E. M. E. Zayed, The modified simple equation method applied ...
  • S. Zhang, Application of Exp-function method to a KdV equation ...
  • S. D. Zhu, Exp-function method for the discrete mKdV lattice, ...
  • نمایش کامل مراجع