The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem

Anne Boutet de Monvel, Iryna Karpenko, Dmitry Shepelsky

This paper deals with the Cauchy problem for the modified Camassa-Holm (mCH) equation \begin{alignat*}{4} &m_t+\left((u^2-u_x^2)m\right)_x=0,&\quad&m:= u-u_{xx},&\quad&t>0,&\;&-\in…