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math.AP2024
Solitary waves for the power degenerate NLS -- existence and stability
Vishnu Iyer, Atanas G. Stefanov
We consider a semilinear Schrödinger equation, driven by the power degenerate second order differential operator . We construct the solit…
math.AP2024
Existence and stability for the travelling waves of the Benjamin equation
Sevdzhan Hakkaev, Milena Stanislavova, Atanas G. Stefanov
In the seminal work of Benjamin,\cite{Ben} in the late 70's, he has derived the ubiquitous Benjamin model, which is a reduced model in the theory of water waves. Notably, it contai…