Whitham-Broer-Kaup Systems in Multi-dimensions: Quantum and Resonant NLS Connections
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908475454390272 |
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| author | Pashaev, Oktay K Rogers, Colin |
| author_facet | Pashaev, Oktay K Rogers, Colin |
| contents | An overview is presented of quantum and resonant nonlinear Schrödinger 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-Painlevé II and associated Painlevé XXXIV integrable similarity reductions are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00660 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Whitham-Broer-Kaup Systems in Multi-dimensions: Quantum and Resonant NLS Connections Pashaev, Oktay K Rogers, Colin Exactly Solvable and Integrable Systems An overview is presented of quantum and resonant nonlinear Schrödinger 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-Painlevé II and associated Painlevé XXXIV integrable similarity reductions are derived. |
| title | Whitham-Broer-Kaup Systems in Multi-dimensions: Quantum and Resonant NLS Connections |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2508.00660 |