Whitham–Broer–Kaup Systems in Multi-Dimensions: Quantum and Resonant NLS Connections
| dc.contributor.author | Pashaev, Oktay K. | |
| dc.contributor.author | Rogers, Colin | |
| dc.date.accessioned | 2025-11-25T15:11:51Z | |
| dc.date.available | 2025-11-25T15:11:51Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | An overview is presented of quantum and resonant nonlinear Schro<spacing diaeresis>dinger equation links to Whitham-Broer-Kaup type systems. A novel n + 1 dimensional extension of the Whitham-Broer-Kaup hydrodynamic system is constructed with connection to an equivalent multi-dimensional resonant NLS equation. Hybrid Ermakov-Painleve II and associated Painleve XXXIV integrable similarity reductions are derived. | en_US |
| dc.identifier.doi | 10.1142/S0219887826500337 | |
| dc.identifier.issn | 0219-8878 | |
| dc.identifier.issn | 1793-6977 | |
| dc.identifier.scopus | 2-s2.0-105021234929 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219887826500337 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Nonlinear Schrödinger Equation | en_US |
| dc.subject | Painlevé Equation | en_US |
| dc.subject | Madelung Fluid | en_US |
| dc.subject | Resonant NLS | en_US |
| dc.subject | Whitham-Broer-Kaup System | en_US |
| dc.subject | Quantum Hydrodynamics | en_US |
| dc.subject | Ermakov Equation | en_US |
| dc.subject | Vector Soliton | en_US |
| dc.title | Whitham–Broer–Kaup Systems in Multi-Dimensions: Quantum and Resonant NLS Connections | |
| dc.title | Whitham-Broer Systems in Multi-Dimensions: Quantum and Resonant NLS Connections | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 6701681904 | |
| gdc.author.scopusid | 7402363921 | |
| gdc.author.wosid | Pashaev, Oktay/T-8076-2017 | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Institute of Technology | en_US |
| gdc.description.departmenttemp | [Pashaev, Oktay K.] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkiye; [Rogers, Colin] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4414932937 | |
| gdc.identifier.wos | WOS:001616657900001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
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