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math.AP2024
Remarks on solitary waves in equations with nonlocal cubic terms
Johanna Ulvedal Marstrander
In this overview paper, we show existence of smooth solitary-wave solutions to the nonlinear, dispersive evolution equations of the form \begin{equation*} \partial_t u + \partial_x…
math.AP2023
Solitary waves for dispersive equations with Coifman-Meyer nonlinearities
Johanna Ulvedal Marstrander
Using a modified version of Weinstein's argument for constrained minimization in nonlinear dispersive equations, we prove existence of solitary waves in fully nonlocally nonlinear…