50 citations · 59 across the 23 of their papers we have counts for
3 papers · 2 filters
Traveling waves in periodic metric graphs via spatial dynamics
Stefan Le Coz, Dmitry E. Pelinovsky, Guido Schneider
The purpose of this work is to introduce a concept of traveling waves in the setting of periodic metric graphs. It is known that the nonlinear Schr{ö}dinger (NLS) equation on perio…
Bifurcations of unstable eigenvalues for Stokes waves derived from conserved energy
Sergey Dyachenko, Dmitry E. Pelinovsky
We address Euler's equations for irrotational gravity waves in an infinitely deep fluid rewritten in conformal variables. Stokes waves are traveling waves with the smooth periodic…
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…