50 citations · 59 across the 23 of their papers we have counts for
Showing 2026 · math.APShow all
2 papers · 2 filters
math.AP2026
Bifurcations of solitary waves in a coupled system of long and short waves
James Hornick, Dmitry E. Pelinovsky
We consider families of solitary waves in the Korteweg--de Vries (KdV) equation coupled with the linear Schrödinger (LS) equation. This model has been used to describe interactions…
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…