Spectral stability of periodic traveling waves in Caudrey-Dodd-Gibbon-Sawada-Kotera Equation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916703393284096 |
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| author | Singh, Sudhir Pandey, Ashish Kumar Sharma, Nitesh |
| author_facet | Singh, Sudhir Pandey, Ashish Kumar Sharma, Nitesh |
| contents | We study the spectral stability of the one-dimensional small-amplitude periodic traveling wave solutions of the (1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera equation. We show that these waves are spectrally stable with respect to co-periodic as well as square integrable perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16425 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral stability of periodic traveling waves in Caudrey-Dodd-Gibbon-Sawada-Kotera Equation Singh, Sudhir Pandey, Ashish Kumar Sharma, Nitesh Analysis of PDEs Mathematical Physics We study the spectral stability of the one-dimensional small-amplitude periodic traveling wave solutions of the (1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera equation. We show that these waves are spectrally stable with respect to co-periodic as well as square integrable perturbations. |
| title | Spectral stability of periodic traveling waves in Caudrey-Dodd-Gibbon-Sawada-Kotera Equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2504.16425 |