On Static and Dynamic Properties of Solitons in Low-Dimensional Systems
  The cross section for scattering of x-rays by solitons is calculated. The authors consider solitons corresponding to the formation of a kink in a system of adatoms on the surface of a substrate, or of a crowdion in a chain of atoms in a crystal that are described by the sine-Gordon equation. It is shown that investigation of the x-ray scattering makes it possible to obtain information about the static and dynamic properties of the solitons. 
Irina Bariakhtar, Victor Bariakhtar, Alex Nazarenko
cond-mat.str-el