50 citations · 59 across the 23 of their papers we have counts for
4 papers · 1 filter
Recurrent bifurcations of stability spectra for steep Stokes waves in a deep fluid
Sergey Dyachenko, Robert Marangell, Dmitry E. Pelinovsky
We study the modulational stability problem for the traveling periodic waves (called Stokes waves) in an infinitely deep fluid by using pseudo-differential operators in conformal v…
Rational solutions for algebraic solitons in the massive Thirring model
Zhen Zhao, Cheng He, Baofeng Feng +1
An algebraic soliton of the massive Thirring model (MTM) is expressed by the simplest rational solution of the MTM with the spatial decay of . The correspondin…
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…
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…