activity
20062011
most citedTransverse instability for periodic waves of KP-I and Schrödinger equations

7 citations · 14 across the 3 of their papers we have counts for

collaborators
Showing 2010Show all

2 papers · 1 filter

math.AP2010★ 7 cited

Transverse instability for periodic waves of KP-I and Schrödinger equations

Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov

We consider the quadratic and cubic KP - I and NLS models in dimensions with periodic boundary conditions. We show that the spatially periodic travelling waves (with period $…

math-ph2010★ 8 cited

Asymptotic stability of small gap solitons in the nonlinear Dirac equations

Dmitry E. Pelinovsky, Atanas Stefanov

We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with qu…