Compacton-Like Solutions in a Camassa-Holm Type Equation |
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| Authors: | LI Hong WANG Kan-Min MA Li-Lin |
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| Institution: | 1. Department of Mathematics, Jiujiang University, Jiujiang 332005, China;
2. Information Technology Center, Jiujiang University, Jiujiang 332005, China |
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| Abstract: | This paper shows that a Camassa-Holm 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  →±∞ψ(ξ)=A. |
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| Keywords: | Camassa-Holm type equation compacton-like solutions cuspon |
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