Compacton-Like Solutions in a Camassa-Holm Type Equation

摘要

This paper shows that a Camassa-Hohn type equation can be reduced to Hamiltonian system by transformation of variables.The hamiltonian system is studied by making use of the dynamical systems theory and the qualitative behavior of degenerate singular points is presented.In particular,new type of compacton-like solutions is obtained by setting the partial differential equation under boundary condition limξ→±∞Ψ(ξ) = A.