Solitary wave solutions for a strain wave equation in a microstructured solid

In this article, a strain wave equation (SWE) is studied, which is used to model wave propagation in microstructured materials that earn a noteworthy place in solid-state physics. This equation also signifies the dynamics of various physical phenomena. The Sardar-subequation method (SSM) is utilized...

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Published inResults in physics Vol. 39; p. 105755
Main Authors Rehman, Hamood ur, Awan, Aziz Ullah, Habib, Azka, Gamaoun, Fehmi, Din, ElSayed M. Tag El, Galal, Ahmed M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2022
Elsevier
Subjects
Nonlinear partial differential equation (NLPDEs)
Sardar-subequation method (SSM)
Solitary wave solutions
Strain wave equation (SWE)
Strain wave equation (SWE)
Nonlinear partial differential equation (NLPDEs)
Solitary wave solutions
Sardar-subequation method (SSM)
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Abstract In this article, a strain wave equation (SWE) is studied, which is used to model wave propagation in microstructured materials that earn a noteworthy place in solid-state physics. This equation also signifies the dynamics of various physical phenomena. The Sardar-subequation method (SSM) is utilized for this model. Granting appropriate values to parameters, we obtain various types of soliton solutions such as periodic singular solitons, bright solitons, dark solitons, singular soliton, combined dark-bright solitons, and some other wave solutions. These novel solitons and other wave results have significant applications in engineering and applied sciences. The graphical sketchings of the results are illustrated to purify the impact of the SSM. Furthermore, the executed technique can be utilized for further studies to discuss the realistic phenomena developing in physical and engineering problems. •A strain wave equation is studied, which is used to model wave propagation in microstructured materials.•The Sardar-subequation method is utilized for this model.•Granting appropriate values to parameters, we obtained various types of soliton solutions.•These novel solitons and other wave results have significant applications in engineering and applied sciences.
AbstractList In this article, a strain wave equation (SWE) is studied, which is used to model wave propagation in microstructured materials that earn a noteworthy place in solid-state physics. This equation also signifies the dynamics of various physical phenomena. The Sardar-subequation method (SSM) is utilized for this model. Granting appropriate values to parameters, we obtain various types of soliton solutions such as periodic singular solitons, bright solitons, dark solitons, singular soliton, combined dark-bright solitons, and some other wave solutions. These novel solitons and other wave results have significant applications in engineering and applied sciences. The graphical sketchings of the results are illustrated to purify the impact of the SSM. Furthermore, the executed technique can be utilized for further studies to discuss the realistic phenomena developing in physical and engineering problems.
In this article, a strain wave equation (SWE) is studied, which is used to model wave propagation in microstructured materials that earn a noteworthy place in solid-state physics. This equation also signifies the dynamics of various physical phenomena. The Sardar-subequation method (SSM) is utilized for this model. Granting appropriate values to parameters, we obtain various types of soliton solutions such as periodic singular solitons, bright solitons, dark solitons, singular soliton, combined dark-bright solitons, and some other wave solutions. These novel solitons and other wave results have significant applications in engineering and applied sciences. The graphical sketchings of the results are illustrated to purify the impact of the SSM. Furthermore, the executed technique can be utilized for further studies to discuss the realistic phenomena developing in physical and engineering problems. •A strain wave equation is studied, which is used to model wave propagation in microstructured materials.•The Sardar-subequation method is utilized for this model.•Granting appropriate values to parameters, we obtained various types of soliton solutions.•These novel solitons and other wave results have significant applications in engineering and applied sciences.
ArticleNumber 105755
Author Galal, Ahmed M.
Awan, Aziz Ullah
Habib, Azka
Din, ElSayed M. Tag El
Gamaoun, Fehmi
Rehman, Hamood ur
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  organization: Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi addawaser 11991, Saudi Arabia
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Keywords Strain wave equation (SWE)
Nonlinear partial differential equation (NLPDEs)
Solitary wave solutions
Sardar-subequation method (SSM)
Language English
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Snippet In this article, a strain wave equation (SWE) is studied, which is used to model wave propagation in microstructured materials that earn a noteworthy place in...
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StartPage 105755
SubjectTerms Nonlinear partial differential equation (NLPDEs)
Sardar-subequation method (SSM)
Solitary wave solutions
Strain wave equation (SWE)
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Title Solitary wave solutions for a strain wave equation in a microstructured solid
URI https://dx.doi.org/10.1016/j.rinp.2022.105755
https://doaj.org/article/15df2cde913c4070835021e590e64819
Volume 39
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