“…Equations (3) and (6), sometimes with various modifications such as with an additional dissipative term, or with a term taking account of the Earth's rotation, have been applied to the study of internal solitary wave wave transformation in the coastal zone by many authors (for instance Cai et al, 2002;Djordjevic and Redekopp, 1978;Grimshaw et al, , 2006Grimshaw et al, , 2007Holloway et al, 1997Holloway et al, , 1999Hsu et al, 2000;Liu et al, 1988Liu et al, , 1998Liu et al, , 2004Orr and Mignerey, 2003;Shroyer et al, 2009and Small, 2001a, b, 2003. In Sect.…”