A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alshomrani, Ali Saleh | |
| dc.contributor.author | Ullah, Malik Zaka | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2022-02-24T07:15:56Z | |
| dc.date.available | 2022-02-24T07:15:56Z | |
| dc.date.issued | 2021 | |
| dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | 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.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 | 1687-1839 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.uri | http://hdl.handle.net/20.500.12416/5049 | |
| dc.identifier.volume | 2021 | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Advances in Difference Equations | en_US |
| 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 | tr_TR |
| dc.title | A New Fourth-Order Integrable Nonlinear Equation: Breather, Rogue Waves, Other Lump Interaction Phenomena, and Conservation Laws | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |