Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics
This research article deals with analytical solutions to two problems. The first is the (1+1)-coupled Jaulent-Miodek system of equations, which is associated with the energy-dependent Schrödinger potential, whereas the second problem, the system of coupled Konno-Oono equations relates to complexity...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2023-12-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3244982 |
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| author | Avneesh Kumar Krıpa Shankar Pandey Raj Kumar Anshu Kumar |
| author_facet | Avneesh Kumar Krıpa Shankar Pandey Raj Kumar Anshu Kumar |
| author_sort | Avneesh Kumar |
| collection | DOAJ |
| description | This research article deals with analytical solutions to two problems. The first is the (1+1)-coupled Jaulent-Miodek system of equations, which is associated with the energy-dependent Schrödinger potential, whereas the second problem, the system of coupled Konno-Oono equations relates to complexity and chaos in electromagnetic fields. Similarity reductions via Lie-symmetry analysis is performed for the systems to derive their analytical solutions. Since Lie symmetry involves arbitrary constants in the infinitesimals, this opens up more possibilities for getting a rich variety of analytical solutions for both real-life problems. The analytical solutions are supplemented graphically to understand them in a better way. Traveling wave profiles are obtained eventually. Solution for CKOEs are different from the earlier research (Kumar and Kumar 2022a; Kumar et al. 2022) as far as the authors are aware. |
| format | Article |
| id | doaj-art-a774b5b9bc3b41c4a353467d658fff66 |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-a774b5b9bc3b41c4a353467d658fff662025-01-23T18:15:40ZengAkif AKGULChaos Theory and Applications2687-45392023-12-015428128510.51537/chaos.13229391971Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their DynamicsAvneesh Kumar0https://orcid.org/0000-0002-4385-727XKrıpa Shankar Pandey1https://orcid.org/0000-0002-4878-7872Raj Kumar2https://orcid.org/0000-0002-9650-5606Anshu Kumar3https://orcid.org/0009-0003-2130-592XV. B. S. Purvanchal University, JaunpurV. B. S. Purvanchal University, JaunpurV. B. S. Purvanchal University, JaunpurSharda UniversityThis research article deals with analytical solutions to two problems. The first is the (1+1)-coupled Jaulent-Miodek system of equations, which is associated with the energy-dependent Schrödinger potential, whereas the second problem, the system of coupled Konno-Oono equations relates to complexity and chaos in electromagnetic fields. Similarity reductions via Lie-symmetry analysis is performed for the systems to derive their analytical solutions. Since Lie symmetry involves arbitrary constants in the infinitesimals, this opens up more possibilities for getting a rich variety of analytical solutions for both real-life problems. The analytical solutions are supplemented graphically to understand them in a better way. Traveling wave profiles are obtained eventually. Solution for CKOEs are different from the earlier research (Kumar and Kumar 2022a; Kumar et al. 2022) as far as the authors are aware.https://dergipark.org.tr/en/download/article-file/3244982ckoesjmeslie-symmetryanalysistraveling wavesolutionschaos |
| spellingShingle | Avneesh Kumar Krıpa Shankar Pandey Raj Kumar Anshu Kumar Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics Chaos Theory and Applications ckoes jmes lie-symmetryanalysis traveling wavesolutions chaos |
| title | Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics |
| title_full | Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics |
| title_fullStr | Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics |
| title_full_unstemmed | Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics |
| title_short | Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics |
| title_sort | novel traveling wave solutions of jaulent miodek equations and coupled konno oono systems and their dynamics |
| topic | ckoes jmes lie-symmetryanalysis traveling wavesolutions chaos |
| url | https://dergipark.org.tr/en/download/article-file/3244982 |
| work_keys_str_mv | AT avneeshkumar noveltravelingwavesolutionsofjaulentmiodekequationsandcoupledkonnooonosystemsandtheirdynamics AT krıpashankarpandey noveltravelingwavesolutionsofjaulentmiodekequationsandcoupledkonnooonosystemsandtheirdynamics AT rajkumar noveltravelingwavesolutionsofjaulentmiodekequationsandcoupledkonnooonosystemsandtheirdynamics AT anshukumar noveltravelingwavesolutionsofjaulentmiodekequationsandcoupledkonnooonosystemsandtheirdynamics |