Periodic waves in the fractional Korteweg–de Vries equation have been previously
characterized as constrained minimizers of energy subject to fixed momentum and mass …

We consider stability of periodic travelling waves in the generalized reduced Ostrovsky
equation with respect to co-periodic perturbations. Compared to the recent literature, we …

Given a suitable solution V (t, x) to the Korteweg–de Vries equation on the real line, we
prove global well-posedness for initial data u (0, x)∈ V (0, x)+ H-1 (R). Our conditions on V …

The stability of periodic traveling wave solutions to dispersive PDEs with respect to'arbitrary'
perturbations is still widely open. The focus is put here on stability with respect to …

Periodic travelling waves are considered in the class of reduced Ostrovsky equations that
describe low-frequency internal waves in the presence of rotation. The reduced Ostrovsky …

This paper establishes sufficient conditions for the orbital stability of one-parameter spatially
periodic traveling-wave solutions for one-dimensional dispersive equations. Our method of …

In the present paper, we establish the existence and orbital instability results of cnoidal
periodic waves for the quintic Klein-Gordon and nonlinear Schrödinger equations. The …

In this paper, we establish a new criterion for the orbital stability of periodic waves related to
a general class of regularized dispersive equations. More specifically, we present sufficient …

In this paper we establish the orbital stability of periodic waves related to the logarithmic
Korteweg–de Vries equation. Our motivation is inspired in the recent work [3], in which the …

In this work we study the orbital stability of periodic traveling-wave solutions for dispersive
models. The study of traveling waves started in the mid-18th century when John S. Russel …