On the construction of almost periodic solutions for the derivative nonlinear Schrödinger equation
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911622780420096 |
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| author | WU, Yuchen Yuan, Xiaoping |
| author_facet | WU, Yuchen Yuan, Xiaoping |
| contents | In this paper, we consider a derivative nonlinear Schrödinger equation
$$
\mathrm{i}\partial_{t}u+\partial_{xx}u-V\ast u+\mathrm{i}\vert u\vert^{2}\partial_{x}u=0
$$
on the torus $\mathbb{T}$, depending on some potential $V$. We prove that for `almost all' potentials $V$, this equation admits an almost-periodic solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23202 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the construction of almost periodic solutions for the derivative nonlinear Schrödinger equation WU, Yuchen Yuan, Xiaoping Dynamical Systems In this paper, we consider a derivative nonlinear Schrödinger equation $$ \mathrm{i}\partial_{t}u+\partial_{xx}u-V\ast u+\mathrm{i}\vert u\vert^{2}\partial_{x}u=0 $$ on the torus $\mathbb{T}$, depending on some potential $V$. We prove that for `almost all' potentials $V$, this equation admits an almost-periodic solution. |
| title | On the construction of almost periodic solutions for the derivative nonlinear Schrödinger equation |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2604.23202 |