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- W2962804520 abstract "We present a general result of transverse nonlinear instability of 1d solitary waves for Hamiltonian PDE's for both periodic or localized transverse perturbations. Our main structural assumption is that the linear part of the 1-d model and the transverse perturbation “have the same sign”. Our result applies to the generalized KP-I equation, the Nonlinear Schrödinger equation, the generalized Boussinesq system and the Zakharov–Kuznetsov equation and we hope that it may be useful in other contexts. On présente un résultat général d'instabilité transverse non linéaire d'ondes solitaires lignes pour des perturbations transverses periodiques ou localisées. Notre hypothèse structurelle principale est que la partie linéaire du modèle 1-d et la perturbation transverse « ont le même signe ». Notre résultat s'applique aux équations de KP-I généralisées, Schrödinger non linéaire et Zakharov–Kuzntetsov et à un système de Boussinesq et on espère qu'il pourra être utile dans d'autres contextes." @default.
- W2962804520 created "2019-07-30" @default.
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- W2962804520 date "2008-12-01" @default.
- W2962804520 modified "2023-09-27" @default.
- W2962804520 title "Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's" @default.
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- W2962804520 doi "https://doi.org/10.1016/j.matpur.2008.07.004" @default.
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