B. Ilan

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  • M Ablowitz, I Bakirtas, B Ilan
  • 2007
A similar type of nonlocal nonlinear Schrödinger (NLS) system arises in both water waves and nonlinear optics. The nonlocality is due to a coupling between the first harmonic and a mean term. These systems are termed nonlinear Schrödinger with mean or NLSM systems. They were first derived in water waves by Benney-Roskes and later by Davey-Stewartson.(More)
A nonlinear model of spin-wave excitation using a point contact in a thin ferromagnetic film is introduced. Large-amplitude magnetic solitary waves are computed, which help explain recent spin-torque experiments. Numerical simulations of the fully nonlinear model predict excitation frequencies in excess of 0.2 THz for contact diameters smaller than 6 nm.(More)
We consider a class of nonlinear Schrödinger/Gross–Pitaevskii (NLS/GP) equations with periodic potentials having an even symmetry. We construct " solitons, " centered about any point of symmetry of the potential. For focusing (attractive) nonlinearities, these solutions bifurcate from the zero state at the lowest band-edge frequency into the semi-infinite(More)
Dispersive shock waves ͑DSWs͒ are studied theoretically in the context of two-dimensional ͑2D͒ supersonic flow of a superfluid. Employing Whitham averaging theory for the repulsive Gross-Pitaevskii ͑GP͒ equation, suitable jump and entropy conditions are obtained for an oblique DSW, a fundamental building block for 2D flows with boundaries. In analogy to(More)
The nature of transverse instabilities of dark solitons for the (2+1)-dimensional defo-cusing nonlinear Schrödinger/Gross–Pitaevski ˘ i (NLS/GP) equation is considered. Special attention is given to the small (shallow) amplitude regime, which limits to the Kadomtsev–Petviashvili (KP) equation. We study analytically and numerically the eigenvalues of the(More)
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