Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation
Symmetry methods are always very useful for discussing the classes of differential equation solutions. This article focuses on traveling wave structures of the generalized Pochhammer–Chree (PHC) equation. First, we will discuss Lie point symmetries of the PHC equation to classify the solutions. Then...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-06-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123000347 |
| _version_ | 1797797110558490624 |
|---|---|
| author | A. Hussain M. Usman F.D. Zaman S.M. Eldin |
| author_facet | A. Hussain M. Usman F.D. Zaman S.M. Eldin |
| author_sort | A. Hussain |
| collection | DOAJ |
| description | Symmetry methods are always very useful for discussing the classes of differential equation solutions. This article focuses on traveling wave structures of the generalized Pochhammer–Chree (PHC) equation. First, we will discuss Lie point symmetries of the PHC equation to classify the solutions. Then, we formulate traveling wave structures considering the reduced differential equations (DEs) by using sech method and the new extended direct algebraic (EDA) method. In the end, we will sketch some of the traveling wave structures. |
| first_indexed | 2024-03-13T03:43:14Z |
| format | Article |
| id | doaj.art-14fff2fcaafd43ecb6cb9e8a8f17dbab |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-13T03:43:14Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-14fff2fcaafd43ecb6cb9e8a8f17dbab2023-06-23T04:44:54ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-06-017100521Double reductions and traveling wave structures of the generalized Pochhammer–Chree equationA. Hussain0M. Usman1F.D. Zaman2S.M. Eldin3Abdus Salam School of Mathematical Sciences, Government College University, 68-B New Muslim Town, 54600 Lahore, Pakistan; Corresponding author.College of Electrical and Mechanical Engineering (CEME), National University of Science and Technology (NUST), H-12 Islamabad 44000, PakistanAbdus Salam School of Mathematical Sciences, Government College University, 68-B New Muslim Town, 54600 Lahore, PakistanCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptSymmetry methods are always very useful for discussing the classes of differential equation solutions. This article focuses on traveling wave structures of the generalized Pochhammer–Chree (PHC) equation. First, we will discuss Lie point symmetries of the PHC equation to classify the solutions. Then, we formulate traveling wave structures considering the reduced differential equations (DEs) by using sech method and the new extended direct algebraic (EDA) method. In the end, we will sketch some of the traveling wave structures.http://www.sciencedirect.com/science/article/pii/S2666818123000347Lie point symmetryTraveling wave structuresGeneralized PHC equationEDA methodSech method |
| spellingShingle | A. Hussain M. Usman F.D. Zaman S.M. Eldin Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation Partial Differential Equations in Applied Mathematics Lie point symmetry Traveling wave structures Generalized PHC equation EDA method Sech method |
| title | Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation |
| title_full | Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation |
| title_fullStr | Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation |
| title_full_unstemmed | Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation |
| title_short | Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation |
| title_sort | double reductions and traveling wave structures of the generalized pochhammer chree equation |
| topic | Lie point symmetry Traveling wave structures Generalized PHC equation EDA method Sech method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123000347 |
| work_keys_str_mv | AT ahussain doublereductionsandtravelingwavestructuresofthegeneralizedpochhammerchreeequation AT musman doublereductionsandtravelingwavestructuresofthegeneralizedpochhammerchreeequation AT fdzaman doublereductionsandtravelingwavestructuresofthegeneralizedpochhammerchreeequation AT smeldin doublereductionsandtravelingwavestructuresofthegeneralizedpochhammerchreeequation |