2 papers
math.AP2026
Stability of periodic waves in the model with intensity--dependent dispersion
Fábio Natali, Dmitry E. Pelinovsky, Shuoyang Wang
We study standing periodic waves modeled by the nonlinear Schrodinger equation with the intensity-dependent dispersion coefficient. Spatial periodic profiles are smooth if the freq…
math.AP2025
Instability of the peaked traveling wave in a local model for shallow water waves
Fábio Natali, Dmitry E. Pelinovsky, Shuoyang Wang
The traveling wave with the peaked profile arises in the limit of the family of traveling waves with the smooth profiles. We study the linear and nonlinear stability of the peaked…