Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909398250553344 |
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| author | Pan-Collantes, A. J. Muriel, C. Ruiz, A. |
| author_facet | Pan-Collantes, A. J. Muriel, C. Ruiz, A. |
| contents | The $\mathcal{C}^{\infty}$-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov--Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation Pan-Collantes, A. J. Muriel, C. Ruiz, A. Analysis of PDEs The $\mathcal{C}^{\infty}$-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov--Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods. |
| title | Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.14024 |