Compacton-Like Solutions in a Camassa–Holm Type Equation

Compacton-Like Solutions in a Camassa–Holm Type Equation

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...

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Veröffentlicht in:Communications in theoretical physics 2015-11, Vol.64 (5), p.515-518
Hauptverfasser: Li, Hong, Wang, Kan-Min, Ma, Li-Lin
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Dynamical systems
Dynamics
Fluid dynamics
Mathematical analysis
Partial differential equations
Texts
Theoretical physics
Transformations
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Zusammenfassung: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 (ProQuest: Formulae and/or non-USASCII text omitted).
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/64/5/515