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- W3145356819 abstract "In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size ε>0 , a large class of periodic multi-solitons of the KdV equation, including ones of large amplitude, are orbitally stable for a time interval of length at least O(ε-2) . To the best of our knowledge, this is the first stability result of such type for periodic multi-solitons of large size of an integrable PDE." @default.
- W3145356819 created "2021-04-13" @default.
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- W3145356819 date "2021-05-11" @default.
- W3145356819 modified "2023-10-18" @default.
- W3145356819 title "On the Stability of Periodic Multi-Solitons of the KdV Equation" @default.
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- W3145356819 doi "https://doi.org/10.1007/s00220-021-04089-9" @default.
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