A New Fourth-Order Integrable Nonlinear Equation: Breather, Rogue Waves, Other Lump Interaction Phenomena, and Conservation Laws
| dc.contributor.author | Alshomrani, Ali Saleh | |
| dc.contributor.author | Ullah, Malik Zaka | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2022-02-24T07:15:56Z | |
| dc.date.accessioned | 2025-09-18T14:08:57Z | |
| dc.date.available | 2022-02-24T07:15:56Z | |
| dc.date.available | 2025-09-18T14:08:57Z | |
| dc.date.issued | 2021 | |
| dc.description | Ullah, Malik Zaka/0000-0003-2944-0352 | en_US |
| dc.description.abstract | In this study, we investigate a new fourth-order integrable nonlinear equation. Firstly, by means of the efficient Hirota bilinear approach, we establish novel types of solutions which include breather, rogue, and three-wave solutions. Secondly, with the aid of Lie symmetry method, we report the invariance properties of the studied equation such as the group of transformations, commutator and adjoint representation tables. A differential substitution is found by nonlinear self-adjointness (NSA) and thereafter the associated conservation laws are established. We show some dynamical characteristics of the obtained solutions through via the 3-dimensional and contour graphs. | en_US |
| dc.description.sponsorship | King Abdulaziz University [FP-28-42] | en_US |
| dc.description.sponsorship | This research is supported by the King Abdulaziz University (FP-28-42). | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Alshomrani, Ali Saleh; Ullah, Malik Zaka (2021). "A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03352-6 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85104077441 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03352-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13256 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fourth-Order Integrable Nonlinear Equation | en_US |
| dc.subject | Lump Solutions | en_US |
| dc.subject | Interaction Solutions | en_US |
| dc.subject | Invariant Analysis | en_US |
| dc.subject | Conservation Laws | en_US |
| dc.title | A New Fourth-Order Integrable Nonlinear Equation: Breather, Rogue Waves, Other Lump Interaction Phenomena, and Conservation Laws | en_US |
| dc.title | A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Alshomrani, Ali/Q-4236-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Ullah, Malik Zaka/H-2068-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Alshomrani, Ali Saleh; Ullah, Malik Zaka] King Abdulaziz Univ, Fac Sci, Dept Math, Math Modelling & Appl Computat Res Grp MMAC, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
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| gdc.oaire.keywords | Interaction solutions | |
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| gdc.oaire.keywords | Invariant analysis | |
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| gdc.oaire.keywords | Conservation laws | |
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| gdc.oaire.keywords | invariant analysis | |
| gdc.oaire.keywords | lump solutions | |
| gdc.oaire.keywords | Soliton solutions | |
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