Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy
We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2). By employing those subalgebras, we construct the invariant solutions...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824012201 |
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| author | J. Mohammed Zubair Ahamed R. Sinuvasan |
| author_facet | J. Mohammed Zubair Ahamed R. Sinuvasan |
| author_sort | J. Mohammed Zubair Ahamed |
| collection | DOAJ |
| description | We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2). By employing those subalgebras, we construct the invariant solutions which are represented through Weierstrass elliptic functions, Jacobi elliptic functions, and soliton solutions. Also, we analyse the existence of a bounded travelling-wave solution for the equation. Moreover, through the utilization of scale-invariant symmetry, we derive a self-similar solution. Additionally, by conducting singularity analysis, the solution can be expressed in the form of a right Painlevè series. |
| format | Article |
| id | doaj-art-80c130229d444a34a76171aa3772a2f1 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-80c130229d444a34a76171aa3772a2f12025-01-18T05:03:40ZengElsevierAlexandria Engineering Journal1110-01682025-01-01111601609Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchyJ. Mohammed Zubair Ahamed0R. Sinuvasan1Department of Mathematics, VIT-AP University, Amaravati 522237, IndiaCorresponding author.; Department of Mathematics, VIT-AP University, Amaravati 522237, IndiaWe investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2). By employing those subalgebras, we construct the invariant solutions which are represented through Weierstrass elliptic functions, Jacobi elliptic functions, and soliton solutions. Also, we analyse the existence of a bounded travelling-wave solution for the equation. Moreover, through the utilization of scale-invariant symmetry, we derive a self-similar solution. Additionally, by conducting singularity analysis, the solution can be expressed in the form of a right Painlevè series.http://www.sciencedirect.com/science/article/pii/S1110016824012201SymmetriesSoliton solutionsTravelling-wave solutionBKP hierarchy |
| spellingShingle | J. Mohammed Zubair Ahamed R. Sinuvasan Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy Alexandria Engineering Journal Symmetries Soliton solutions Travelling-wave solution BKP hierarchy |
| title | Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy |
| title_full | Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy |
| title_fullStr | Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy |
| title_full_unstemmed | Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy |
| title_short | Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy |
| title_sort | symmetries travelling wave and self similar solutions of two component bkp hierarchy |
| topic | Symmetries Soliton solutions Travelling-wave solution BKP hierarchy |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824012201 |
| work_keys_str_mv | AT jmohammedzubairahamed symmetriestravellingwaveandselfsimilarsolutionsoftwocomponentbkphierarchy AT rsinuvasan symmetriestravellingwaveandselfsimilarsolutionsoftwocomponentbkphierarchy |