NUMERICAL STUDY OF A NONLOCAL SINE-GORDON EQUATION

摘要

For the nonlocal sine-Gordon equation u_(tt) -Hu_x + sin u = 0, where H is the Hilbert transform, a family of breather-like solutions is found numerically. These objects are quite robust and even can be developed from some bell-shaped initial data. Also it is shown that the interactions between the elementary entities which describes this nonlocal equation are not elastic, so it hardly can be integrable.