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• W2972308019 abstract "We consider the fourth-order wave equationφtt+φxxxx+f(φ)=0,(x,t)∈R×R, with a nonlinearity f vanishing at 0. Travelling waves φ(x,t)=u(x−ct) satisfy the ODEu⁗+c2u″+f(u)=0onR, and for the case f(u)=eu−1, the existence of at least 36 solitary travelling waves was proved in [4] by computer assisted means. We investigate the orbital stability of these solutions via computation of their Morse indices and using results from [11] and [12]. In order to achieve our results we make use of both analytical and computer-assisted techniques." @default.
• W2972308019 created "2019-09-19" @default.
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• W2972308019 date "2019-12-01" @default.
• W2972308019 modified "2023-09-27" @default.
• W2972308019 title "Orbital stability investigations for travelling waves in a nonlinearly supported beam" @default.
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• W2972308019 doi "https://doi.org/10.1016/j.jde.2019.08.008" @default.
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