Stability analysis of breathers for coupled nonlinear Schrodinger equations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913577382707200 |
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| author | Ling, Liming Pelinovsky, Dmitry E. Su, Huajie |
| author_facet | Ling, Liming Pelinovsky, Dmitry E. Su, Huajie |
| contents | We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equations. The non-degenerate vector solitons are spectrally stable despite the linearized operator admits either embedded or isolated eigenvalues of negative Krein signature. The nonlinear stability of breathers is obtained by the Lyapunov method with the help of the squared eigenfunctions due to integrability of the CNLS equations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_08787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability analysis of breathers for coupled nonlinear Schrodinger equations Ling, Liming Pelinovsky, Dmitry E. Su, Huajie Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs Dynamical Systems Pattern Formation and Solitons We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equations. The non-degenerate vector solitons are spectrally stable despite the linearized operator admits either embedded or isolated eigenvalues of negative Krein signature. The nonlinear stability of breathers is obtained by the Lyapunov method with the help of the squared eigenfunctions due to integrability of the CNLS equations. |
| title | Stability analysis of breathers for coupled nonlinear Schrodinger equations |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs Dynamical Systems Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2411.08787 |