4 papers
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…
Qualitative Aspects of Periodic Traveling Waves for the Sinh-Gordon equation
Beatriz Signori Lonardoni, Fabio Natali
This paper presents a comprehensive analysis of several aspects of the sinh-Gordon equation within a periodic setting. Our investigation proceeds in three main stages. First we est…
On the orbital stability of periodic snoidal waves for the equation
B. S. Lonardoni, F. Natali
The main purpose of this paper is to investigate the global well-posedness and orbital stability of odd periodic traveling waves for the -equation in the Sobolev space of per…
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…