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- W3207520008 abstract "We consider the following triple power nonlinear Schr{o}dinger equation: iut + $Delta$u + a 1 |u|u + a 2 |u| 2 u + a 3 |u| 3 u = 0. We are interested in algebraic standing waves i.e standing waves with algebraic decay above equation in dimensions n (n = 1, 2, 3). We prove the instability of these solutions in the cases DDF (we use abbreviation D: defocusing (a i 0)) and DFF when n = 2, 3 and in the case DFF with a 2 < 32 15 $sqrt$ 6 when n = 1. In the case DFD, we only obtain an existence result of algebraic solution in dimension one." @default.
- W3207520008 created "2021-10-25" @default.
- W3207520008 creator A5088591769 @default.
- W3207520008 date "2022-01-01" @default.
- W3207520008 modified "2023-10-18" @default.
- W3207520008 title "Instability of algebraic standing waves for nonlinear Schrodinger equations with triple power nonlinearities" @default.
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- W3207520008 doi "https://doi.org/10.1080/17476933.2022.2146104" @default.
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