Global conservative solutions of the Camassa-Holm equation for initial   data nonvanishing asymptotics
  We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation $u_t-u_{txx}+\kappa u_x+3uu_x-2u_xu_{xx}-uu_{xxx}=0$ with nonvanishing and distinct spatial asymptotics. 
Katrin Grunert and Helge Holden and Xavier Raynaud
math.AP