Invariant Subspaces, Exact Solutions and Classification of Conservation Laws for a Coupled (1+1)-Dimensional Nonlinear Wu-Zhang Equation
| dc.contributor.author | Li, Yongjin | |
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.date.accessioned | 2021-02-01T11:17:31Z | |
| dc.date.accessioned | 2025-09-18T14:10:33Z | |
| dc.date.available | 2021-02-01T11:17:31Z | |
| dc.date.available | 2025-09-18T14:10:33Z | |
| dc.date.issued | 2020 | |
| dc.description | Isa Aliyu, Aliyu/0000-0002-9756-7374; Inc, Mustafa/0000-0003-4996-8373 | en_US |
| dc.description.abstract | In this work, we apply the invariant subspace method to derive a set of invariant subspaces and solutions of the nonlinear Wu-Zhang equation which describes the dynamic behavior of dispersive long waves in fluid dynamics. The method gives logarithmic and polynomial solutions of the equation. Furthermore, the multipliers approach and new conservation theorem are employed to derive a set of conservation laws of the equation which are to the best of our knowledge reported for the first time in this work. The physical structure of the results is shown by figures of some special solutions in order to give us a better interpretation on the evolution of the solutions. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China [11571378] | en_US |
| dc.description.sponsorship | This work was supported by the National Natural Science Foundation of China (No. 11571378). | en_US |
| dc.identifier.citation | Aliyu, Aliyu Isa...et al. (2020). "Invariant subspaces, exact solutions and classification of conservation laws for a coupled (1+1)-dimensional nonlinear Wu-Zhang equation", Physica Scripta, Vol. 95, No. 3. | en_US |
| dc.identifier.doi | 10.1088/1402-4896/ab48c1 | |
| dc.identifier.issn | 0031-8949 | |
| dc.identifier.issn | 1402-4896 | |
| dc.identifier.scopus | 2-s2.0-85079860288 | |
| dc.identifier.uri | https://doi.org/10.1088/1402-4896/ab48c1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13728 | |
| dc.language.iso | en | en_US |
| dc.publisher | Iop Publishing Ltd | en_US |
| dc.relation.ispartof | Physica Scripta | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Wu-Zhang Equation | en_US |
| dc.subject | Invariant Subspace Method | en_US |
| dc.subject | Conservation Laws | en_US |
| dc.title | Invariant Subspaces, Exact Solutions and Classification of Conservation Laws for a Coupled (1+1)-Dimensional Nonlinear Wu-Zhang Equation | en_US |
| dc.title | Invariant subspaces, exact solutions and classification of conservation laws for a coupled (1+1)-dimensional nonlinear Wu-Zhang equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.id | Inc, Mustafa/0000-0003-4996-8373 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Aliyu, Aliyu Isa; Li, Yongjin] Sun Yat Sen Univ, Dept Math, Guangzhou 50275, Peoples R China; [Aliyu, Aliyu Isa] Fed Univ Dutse, Dept Math, Jigawa, Nigeria; [Inc, Mustafa] Firat Univ, Dept Math, TR-2119 Elazig, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 035216 | |
| gdc.description.volume | 95 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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