Geometrical demonstration for persistence properties of a bi-Hamiltonian shallow water system
IL Freire - Journal of Mathematical Physics, 2022 - pubs.aip.org
We present a geometrical demonstration for the persistence properties for a bi-Hamiltonian
system modeling waves in a shallow water regime. Both periodic and non-periodic cases …
system modeling waves in a shallow water regime. Both periodic and non-periodic cases …
Operator-valued Camassa–Holm systems and their integrability
Y Prykarpatskyy, M Vovk, P Pukach - Letters in Mathematical Physics, 2022 - Springer
Abstract We study a Sturm–Liouville-type operator with operator-valued coefficients and its
iso-spectral deformations, related to a new two-component Camassa–Holm-type completely …
iso-spectral deformations, related to a new two-component Camassa–Holm-type completely …
On the Nonlocal Symmetries of the μ-Camassa—Holm Equation
O Christov - Journal of Nonlinear Mathematical Physics, 2012 - Springer
Abstract The μ-Camassa—Holm (μ CH) equation is a nonlinear integrable partial differential
equation closely related to the Camassa—Holm and the Hunter—Saxton equations. This …
equation closely related to the Camassa—Holm and the Hunter—Saxton equations. This …
[PDF][PDF] Canonically Conjugate Variables for the μCH Equation
O Christov - Pliska Studia Mathematica Bulgarica, 2012 - core.ac.uk
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 …
crystal with a preferred direction if one takes into account the reciprocal action of dipoles on …