Canonically Conjugate Variables for the μCH Equation
| Data(s) |
08/12/2013
08/12/2013
2012
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| Resumo |
2010 Mathematics Subject Classification: 35Q35, 37K10. We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves. This equation is closely related to the periodic Camassa–Holm and the Hunter-Saxton equations. The μCH equation is also integrable and bi-Hamiltonian, that is, it is Hamiltonian with respect to two compatible Poisson brackets. We give a set of conjugated variables for both brackets. This work is partially supported by grant 193/2011 of Sofia University. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 287p-298p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #μCH equation #Poisson bracket #canonically conjugate variables |
| Tipo |
Article |
