Breather Wave Molecules

Quantum signatures of breather-breather interactions.

The spectrum of the quantum discrete nonlinear Schrödinger equation, or boson Hubbard Hamiltonian, on a periodic 1D lattice shows some interesting detailed band structure, which may be interpreted as the quantum signature of a two-breather interaction in the classical case. This fine structure is studied using degenerate perturbation theory. We also present a modification to this model, which i...

p-Wave Feshbach molecules.

We have produced and detected molecules using a p-wave Feshbach resonance between 40K atoms. We have measured the binding energy and lifetime for these molecules and we find that the binding energy scales approximately linearly with the magnetic field near the resonance. The lifetime of bound p-wave molecules is measured to be 1.0+/-0.1 ms and 2.3+/-0.2 ms for the ml=+/-1 and ml=0 angular momen...

Peregrine breather revisited

sine - Gordon breather

As shown in [hep-th/0406065], there exists a noncommutative deformation of the sine-Gordon model which remains (classically) integrable but features a second scalar field. We employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kinkantikink and breather configurations. Explicit results and plots are presented for the leading noncommutativity correct...

Exact Breather-Wave and Doubly Periodic Wave Solutions for the (2+1)-Dimensional Typical Breaking Soliton Equation

A broad general solutions including the breather type solitary wave solutions and doubly periodic wave solutions of the (2+1)-dimensional typical breaking soliton equation was derived by means of the Hirotas bilinear form and generalized three-wave type of ansätz approach. And, some mechanical features are given to demonstrate the interesting outcomes.