Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2155

 Title: Canonically Conjugate Variables for the μCH Equation Authors: Christov, Ognyan Keywords: μCH equationPoisson bracketcanonically conjugate variables Issue Date: 2012 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 287p-298p Abstract: 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. Description: 2010 Mathematics Subject Classification: 35Q35, 37K10. URI: http://hdl.handle.net/10525/2155 ISSN: 0204-9805 Appears in Collections: 2012 Volume 21

Files in This Item:

File Description SizeFormat