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Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation
Rossen I. Ivanov
Integrable equations exhibit interesting conformal properties and can be written in terms of the so-called conformal invariants. The most basic and important example is the KdV equ…
Current-driven magnetic rearrangements in spin-polarized point contacts
Maria Stamenova, Stefano Sanvito, Tchavdar N. Todorov
A new method for investigating the dynamics of atomic magnetic moments in current-carrying magnetic point contacts under bias is presented. This combines the non-equilibrium Green'…
Optimizing transport in a homogeneous network
Marc Durand, Denis Weaire
Many situations in physics, biology, and engineering consist of the transport of some physical quantity through a network of narrow channels. The ability of a network to transport…
Global solutions of the Hunter-Saxton equation
Alberto Bressan, Adrian Constantin
We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equations modeling nematic liquid crystals. A new distance functional, determ…