Numerical study of fluxon solutions of sine-Gordon equation under the   influence of the boundary conditions
  The fluxon solutions of a boundary problem for the sine-Gordon equation (SGE) are investigated numerically in dependence on the boundary conditions. Interconnection between fluxon and constant solutions is analyzed. Numerical results are discussed in context of the long Josephson junction model. 
P. Kh. Atanasova, E. V. Zemlyanaya, Yu. M. Shukrinov
cond-mat.supr-con