TY - RPRT
T1 - On a Camassa-Holm type equation with two dependent variables
Y1 - 2006
A1 - Gregorio Falqui
AB - We consider a generalization of the Camassa Holm (CH) equation with two dependent variables, called CH2, introduced in [16]. We briefly provide an alternative derivation of it based on the theory of Hamiltonian structures\\non (the dual of) a Lie Algebra. The Lie Algebra here involved is the same algebra underlying the NLS hierarchy. We study the structural properties of the CH2 hierarchy within the bihamiltonian theory of integrable PDEs, and\\nprovide its Lax representation. Then we explicitly discuss how to construct classes of solutions, both of peakon and of algebro-geometrical type. We finally sketch the construction of a class of singular solutions, defined by setting to zero one of the two dependent variables.
JF - J. Phys. A 39 (2006) 327-342
UR - http://hdl.handle.net/1963/1721
U1 - 2430
U2 - Mathematics
U3 - Mathematical Physics
ER -