Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique

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dc.contributor.authorBarman, mHemonta Kumar
dc.contributor.authorAkbar, M. Ali
dc.contributor.authorOsman, M.S.
dc.contributor.authorETAL.
dc.date.accessioned2023-05-03T08:35:15Z
dc.date.accessioned2023-08-20T11:15:40Z
dc.date.available2023-05-03T08:35:15Z
dc.date.available2023-08-20T11:15:40Z
dc.date.issued2021-03
dc.description.abstractThe (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of equatorial and mid-latitude Rossby waves etc. This article studies the KD and LGH models stated earlier using the generalized Kudryashov technique. We obtained a variety of analytical solutions including unknown parameters. The figures of some of the obtained solutions are sketched with certain parameters. The derived results demonstrate the efficiency and reliability of the generalized Kudryashov technique for establishing systematic solutions to nonlinear evolution equations (NLEEs).
dc.identifier.citationBarman, H. K., Akbar, M. A., Osman, M. S., Nisar, K. S., Zakarya, M., Abdel-Aty, A. H., & Eleuch, H. (2021). Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique. Results in Physics, 24, 104092.
dc.identifier.citationThe (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of equatorial and mid-latitude Rossby waves etc. This article studies the KD and LGH models stated earlier using the generalized Kudryashov technique. We obtained a variety of analytical solutions including unknown parameters. The figures of some of the obtained solutions are sketched with certain parameters. The derived results demonstrate the efficiency and reliability of the generalized Kudryashov technique for establishing systematic solutions to nonlinear evolution equations (NLEEs).
dc.identifier.doihttps://doi.org/10.1016/j.rinp.2021.104092
dc.identifier.urihttps://edms.wexl.in/handle/1/5012
dc.publisherElsevier
dc.subjectThe generalized Kudryashov method
dc.subjectNLEEs
dc.subjectThe Konopelchenko-Dubrovsky equation
dc.subjectThe Landau-Ginzburg-Higgs equation
dc.subjectSoliton solutions
dc.titleSolutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov techniqueen_US
dc.typeArticleen_US

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