On solitary-wave solutions of Rosenau-type equations
| dc.authorid | 0000-0003-2268-3992 | |
| dc.contributor.author | Durán, Angel | |
| dc.contributor.author | Muslu, Gülçin Mihriye | |
| dc.date.accessioned | 2024-06-28T05:24:33Z | |
| dc.date.available | 2024-06-28T05:24:33Z | |
| dc.date.issued | 2024 | |
| dc.department | İstanbul Medipol Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümü | |
| dc.description.abstract | The present paper is concerned with the existence of solitary wave solutions of Rosenau-type equations. By using two standard theories, Normal Form Theory and Concentration-Compactness Theory, some results of existence of solitary waves of three different forms are derived. The results depend on some conditions on the speed of the waves with respect to the parameters of the equations. They are discussed for several families of Rosenau equations present in the literature. The analysis is illustrated with a numerical study of generation of approximate solitary-wave profiles from a numerical procedure based on the Petviashvili iteration. | |
| dc.identifier.citation | Durán, A.ve Muslu, G. M. (2024). On solitary-wave solutions of Rosenau-type equations. Communications in Nonlinear Science and Numerical Simulation, 137. http://dx.doi.org/10.1016/j.cnsns.2024.108130 | |
| dc.identifier.doi | 10.1016/j.cnsns.2024.108130 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-85195664754 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.cnsns.2024.108130 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12511/12662 | |
| dc.identifier.volume | 137 | |
| dc.identifier.wos | 001253892800001 | en_US |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Muslu, Gülçin Mihriye | |
| dc.language.iso | en | |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | Attribution-NonCommercial 4.0 International | * |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | * |
| dc.subject | Concentration-Compactness Theory | |
| dc.subject | Normal Form Theory | |
| dc.subject | Petviashvili’ Iterative Method | |
| dc.subject | Rosenau-Type Equations | |
| dc.subject | Solitary Waves | |
| dc.title | On solitary-wave solutions of Rosenau-type equations | |
| dc.type | Article |
