Compacton solutions and floating compacton solutions of one type of nonlinear equations

Study one type of nonlinear equations,namely generalized Camassa-Holm equation C(n):u\-t+ku\-x+β\-1uxxt+β\-2(un+1)x+β\-3u\-x(u\+n)xx+β\- 4u(u\+n)xxx=0.Obtain abundant exact solutions by four ansasz,particularly when k≠0,we obt ain compacton solutions;while whenk=0,we obtain floating compacton solution s.At last,we also study other forms of fully nonlinear generalized Camassa-Holm equation,and their compacton solutions are governed by nonlinear equations.