2000 character limit reached
On the Stability of Periodic Traveling Waves for the Modified Kawahara Equation (1904.01512v2)
Published 31 Mar 2019 in math.AP
Abstract: In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based on the Fourier expansion of the periodic wave in order to know the behaviour of the nonpositive spectrum of the associated linearized operator around the periodic wave combined with a recent development which significantly simplifies the obtaining of orbital stability results.