Application of modified exp-function method for strain wave equation for finding analytical solutions
The strain wave equation in micro-structured solids, which is significant in solid physics, is offered for consideration in this work. This is accomplished using the modified exp-function method, which is one of the most powerful ways for constructing abundantly distinct, accurate solutions to nonli...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447922001940 |
| _version_ | 1797860415868239872 |
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| author | Muhammad Shakeel Attaullah Nehad Ali Shah Jae Dong Chung |
| author_facet | Muhammad Shakeel Attaullah Nehad Ali Shah Jae Dong Chung |
| author_sort | Muhammad Shakeel |
| collection | DOAJ |
| description | The strain wave equation in micro-structured solids, which is significant in solid physics, is offered for consideration in this work. This is accomplished using the modified exp-function method, which is one of the most powerful ways for constructing abundantly distinct, accurate solutions to nonlinear partial differential equations. Wave propagation in microstructured solids is based on the structure of the strain wave equation. As a result, we were able to obtain a variety of new analytical solitary wave solutions like hyperbolic and complex function solutions with free parameters. Additionally, 2D and 3D plots are graphed for each of the solutions found in order to better comprehend their physical interpretation. |
| first_indexed | 2024-04-09T21:45:29Z |
| format | Article |
| id | doaj.art-5065278e0f544381b80884250f99b190 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-09T21:45:29Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-5065278e0f544381b80884250f99b1902023-03-25T05:10:41ZengElsevierAin Shams Engineering Journal2090-44792023-04-01143101883Application of modified exp-function method for strain wave equation for finding analytical solutionsMuhammad Shakeel0 Attaullah1Nehad Ali Shah2Jae Dong Chung3Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt., PakistanDepartment of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt., PakistanDepartment of Mechanical Engineering, Sejong University, Seoul 05006, South Korea; Corresponding author.Department of Mechanical Engineering, Sejong University, Seoul 05006, South KoreaThe strain wave equation in micro-structured solids, which is significant in solid physics, is offered for consideration in this work. This is accomplished using the modified exp-function method, which is one of the most powerful ways for constructing abundantly distinct, accurate solutions to nonlinear partial differential equations. Wave propagation in microstructured solids is based on the structure of the strain wave equation. As a result, we were able to obtain a variety of new analytical solitary wave solutions like hyperbolic and complex function solutions with free parameters. Additionally, 2D and 3D plots are graphed for each of the solutions found in order to better comprehend their physical interpretation.http://www.sciencedirect.com/science/article/pii/S2090447922001940Analytical methodNonlinear partial differential equationHyperbolic and complex analytical solutionsClosed form solutions |
| spellingShingle | Muhammad Shakeel Attaullah Nehad Ali Shah Jae Dong Chung Application of modified exp-function method for strain wave equation for finding analytical solutions Ain Shams Engineering Journal Analytical method Nonlinear partial differential equation Hyperbolic and complex analytical solutions Closed form solutions |
| title | Application of modified exp-function method for strain wave equation for finding analytical solutions |
| title_full | Application of modified exp-function method for strain wave equation for finding analytical solutions |
| title_fullStr | Application of modified exp-function method for strain wave equation for finding analytical solutions |
| title_full_unstemmed | Application of modified exp-function method for strain wave equation for finding analytical solutions |
| title_short | Application of modified exp-function method for strain wave equation for finding analytical solutions |
| title_sort | application of modified exp function method for strain wave equation for finding analytical solutions |
| topic | Analytical method Nonlinear partial differential equation Hyperbolic and complex analytical solutions Closed form solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2090447922001940 |
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