Soliton solutions to phi-four and strain wave equation through the exp -expansion method

The exp(−F(h )) -expansion method is direct, concise and simple to carry out compared to other existing methods. In this article, we implement the exp(−F(h )) -expansion method through the nonlinear Phi-four equation, an instructive model arising in particle physics and the strain wave equation i...

Full description

Bibliographic Details
Main Authors: Chowdhury, Md. Sazzad Hossien, Akbar, M. Ali, Hosen, Md. Alal
Format: Article
Language:English
Published: Estacao Vitivinicola Nacional Dios Portos 2015
Subjects:
Online Access:http://irep.iium.edu.my/44797/
http://irep.iium.edu.my/44797/1/Soliton_Solutions_to_Phi-four_and_Strain_Wave_Equation_through_the_exp_-expansion_Method.pdf
_version_ 1848782668162924544
author Chowdhury, Md. Sazzad Hossien
Akbar, M. Ali
Hosen, Md. Alal
author_facet Chowdhury, Md. Sazzad Hossien
Akbar, M. Ali
Hosen, Md. Alal
author_sort Chowdhury, Md. Sazzad Hossien
building IIUM Repository
collection Online Access
description The exp(−F(h )) -expansion method is direct, concise and simple to carry out compared to other existing methods. In this article, we implement the exp(−F(h )) -expansion method through the nonlinear Phi-four equation, an instructive model arising in particle physics and the strain wave equation in microstructured solids to construct the exact periodic solutions and soliton solutions. The solutions are expressed in terms of the hyperbolic functions, the trigonometric functions, the exponential functions and the rational functions. The obtained results show that the exp(−F(h )) - expansion method is easy and provide powerful mathematical tool for solving nonlinear evolution equations in mathematical physics and engineering.
first_indexed 2025-11-14T16:09:07Z
format Article
id iium-44797
institution International Islamic University Malaysia
institution_category Local University
language English
last_indexed 2025-11-14T16:09:07Z
publishDate 2015
publisher Estacao Vitivinicola Nacional Dios Portos
recordtype eprints
repository_type Digital Repository
spelling iium-447972017-11-10T03:23:51Z http://irep.iium.edu.my/44797/ Soliton solutions to phi-four and strain wave equation through the exp -expansion method Chowdhury, Md. Sazzad Hossien Akbar, M. Ali Hosen, Md. Alal QA Mathematics The exp(−F(h )) -expansion method is direct, concise and simple to carry out compared to other existing methods. In this article, we implement the exp(−F(h )) -expansion method through the nonlinear Phi-four equation, an instructive model arising in particle physics and the strain wave equation in microstructured solids to construct the exact periodic solutions and soliton solutions. The solutions are expressed in terms of the hyperbolic functions, the trigonometric functions, the exponential functions and the rational functions. The obtained results show that the exp(−F(h )) - expansion method is easy and provide powerful mathematical tool for solving nonlinear evolution equations in mathematical physics and engineering. Estacao Vitivinicola Nacional Dios Portos 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44797/1/Soliton_Solutions_to_Phi-four_and_Strain_Wave_Equation_through_the_exp_-expansion_Method.pdf Chowdhury, Md. Sazzad Hossien and Akbar, M. Ali and Hosen, Md. Alal (2015) Soliton solutions to phi-four and strain wave equation through the exp -expansion method. Ciencia e Tecnica Vitivinicola' , 30 (3). pp. 108-123. ISSN 0254-0223 http://ciencia-e-tecnica.org/
spellingShingle QA Mathematics
Chowdhury, Md. Sazzad Hossien
Akbar, M. Ali
Hosen, Md. Alal
Soliton solutions to phi-four and strain wave equation through the exp -expansion method
title Soliton solutions to phi-four and strain wave equation through the exp -expansion method
title_full Soliton solutions to phi-four and strain wave equation through the exp -expansion method
title_fullStr Soliton solutions to phi-four and strain wave equation through the exp -expansion method
title_full_unstemmed Soliton solutions to phi-four and strain wave equation through the exp -expansion method
title_short Soliton solutions to phi-four and strain wave equation through the exp -expansion method
title_sort soliton solutions to phi-four and strain wave equation through the exp -expansion method
topic QA Mathematics
url http://irep.iium.edu.my/44797/
http://irep.iium.edu.my/44797/
http://irep.iium.edu.my/44797/1/Soliton_Solutions_to_Phi-four_and_Strain_Wave_Equation_through_the_exp_-expansion_Method.pdf