Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation

Denis A. Silantyev, Pavel M. Lushnikov, Michael Siegel +1

We present exact pole dynamics solutions to the generalized Constantin-Lax-Majda (gCLM) equation in a periodic geometry with dissipation $-{\Lambda }^{\sigma }$, where its spatial Fourier transform…