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- W4287328529 abstract "We study decay properties for solutions to the initial value problem associated with the one-dimensional Zakharov-Rubenchik/Benney-Roskes system. We prove time-integrability in growing compact intervals of size $t^{r}$, $r<2/3$, centered on some characteristic curves coming from the underlying transport equations associated with the ZR/BR system. Additionally, we prove decay to zero of the local energy-norm in so-called far-field regions. Our results are independent of the size of the initial data and do not require any parity condition." @default.
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- W4287328529 date "2021-10-06" @default.
- W4287328529 modified "2023-09-30" @default.
- W4287328529 title "On long-time behavior of solutions of the Zakharov–Rubenchik/Benney–Roskes system" @default.
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- W4287328529 doi "https://doi.org/10.1088/1361-6544/ac288c" @default.
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