Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations
In this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. By using these symmetry transformation groups, several group invariant solutions of considered NWS equations have been constructed. Furthermore, some more gro...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6658081 |
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| _version_ | 1832563183399731200 |
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| author | Khudija Bibi Khalil Ahmad |
| author_facet | Khudija Bibi Khalil Ahmad |
| author_sort | Khudija Bibi |
| collection | DOAJ |
| description | In this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. By using these symmetry transformation groups, several group invariant solutions of considered NWS equations have been constructed. Furthermore, some more group invariant solutions are generated by using discrete symmetry transformation group. Graphical representations of some obtained solutions are also presented. |
| format | Article |
| id | doaj-art-d5bfe248275541b2b8d73ff8dbfacd6c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d5bfe248275541b2b8d73ff8dbfacd6c2025-02-03T01:20:51ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66580816658081Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry TransformationsKhudija Bibi0Khalil Ahmad1Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics, Air University, PAF Complex, E-9 Islamabad 44000, PakistanIn this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. By using these symmetry transformation groups, several group invariant solutions of considered NWS equations have been constructed. Furthermore, some more group invariant solutions are generated by using discrete symmetry transformation group. Graphical representations of some obtained solutions are also presented.http://dx.doi.org/10.1155/2021/6658081 |
| spellingShingle | Khudija Bibi Khalil Ahmad Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations Journal of Function Spaces |
| title | Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations |
| title_full | Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations |
| title_fullStr | Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations |
| title_full_unstemmed | Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations |
| title_short | Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations |
| title_sort | exact solutions of newell whitehead segel equations using symmetry transformations |
| url | http://dx.doi.org/10.1155/2021/6658081 |
| work_keys_str_mv | AT khudijabibi exactsolutionsofnewellwhiteheadsegelequationsusingsymmetrytransformations AT khalilahmad exactsolutionsofnewellwhiteheadsegelequationsusingsymmetrytransformations |