26 citations · 42 across the 29 of their papers we have counts for
4 papers · 2 filters
Periodic waves in the fractional modified Korteweg--de Vries equation
Fábio Natali, Uyen Le, Dmitry E. Pelinovsky
Periodic waves in the modified Korteweg-de Vries (mKdV) equation are revisited in the setting of the fractional Laplacian. Two families of solutions in the local case are given by…
Odd Periodic Waves for some Klein-Gordon Type Equations: Existence and Stability
Fábio Natali, Guilherme de Loreno
In this paper, we establish the existence and stability properties of odd periodic waves related to the Klein-Gordon type equations, which include the well known and mo…
Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation
Fábio Natali, Eleomar Cardoso
In this paper we establish the orbital stability of standing wave solutions associated to the one-dimensional Schrödinger-Kirchhoff equation. The presence of a mixed term gives us…
On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations
Fábio Natali, Sabrina Amaral, Eleomar Cardoso
In this paper, we determine spectral stability results of periodic waves for the critical Korteweg-de Vries and Gardner equations. For the first equation, we show that both positiv…