2019/02/12 by Fabrício Cristófani, Fábio Natali, Cristófani, Fabrício +3
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Advanced Mathematical Physics Problems
paper · pdf · doi:10.48550/arxiv.1902.04402
In this paper, we establish a new criterion for the orbital stability of\nperiodic waves related to a general class of regularized dispersive equations.\nMore specifically, we present sufficient conditions for the stability without\nknowing the positiveness of the associated hessian matrix. As application of\nour method, we show the orbital stability for the fifth-order model. The\norbital stability of periodic waves resulting from a minimization of a\nconvenient functional is also proved.\n