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- W4288581667 abstract "We show existence of solitary-wave solutions to the equation begin{equation*} u_t+ (Lu - n(u))_x = 0,, end{equation*} for weak assumptions on the dispersion $L$ and the nonlinearity $n$. The symbol $m$ of the Fourier multiplier $L$ is allowed to be of low positive order ($s > 0$), while $n$ need only be locally Lipschitz and asymptotically homogeneous at zero. We shall discover such solutions in Sobolev spaces contained in $H^{1+s}$." @default.
- W4288581667 created "2022-07-29" @default.
- W4288581667 creator A5084895913 @default.
- W4288581667 date "2019-02-14" @default.
- W4288581667 modified "2023-09-26" @default.
- W4288581667 title "Solitary waves for weakly dispersive equations with inhomogeneous nonlinearities" @default.
- W4288581667 doi "https://doi.org/10.48550/arxiv.1902.05372" @default.
- W4288581667 hasPublicationYear "2019" @default.
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