Traveling Waves for Nonlocal Derivative Nonlinear Schrödinger Equations: A Variational Characterization
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908948913717248 |
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| author | Esfahani, Amin Kairzhan, Adilbek Karazym, Mukhtar |
| author_facet | Esfahani, Amin Kairzhan, Adilbek Karazym, Mukhtar |
| contents | We establish several existence results for traveling-wave solutions of the nonlocal derivative nonlinear Schrödinger equation with general coefficients by variational methods. We study associated minimization problems in the subcritical and critical cases and prove the existence of a minimizer in each case. Finally, we derive Pohozaev-type identities and use them to establish corresponding nonexistence results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22482 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Traveling Waves for Nonlocal Derivative Nonlinear Schrödinger Equations: A Variational Characterization Esfahani, Amin Kairzhan, Adilbek Karazym, Mukhtar Analysis of PDEs 35Q55, 35C07, 35A15 We establish several existence results for traveling-wave solutions of the nonlocal derivative nonlinear Schrödinger equation with general coefficients by variational methods. We study associated minimization problems in the subcritical and critical cases and prove the existence of a minimizer in each case. Finally, we derive Pohozaev-type identities and use them to establish corresponding nonexistence results. |
| title | Traveling Waves for Nonlocal Derivative Nonlinear Schrödinger Equations: A Variational Characterization |
| topic | Analysis of PDEs 35Q55, 35C07, 35A15 |
| url | https://arxiv.org/abs/2603.22482 |