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 qualitativ...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.11401274,11271171Science and technology landing project of colleges and universities in Jiangxi Province under Grant Nos.KJLD14092,KJLD13093
文摘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.
